CN115706690A - Signal processing method and device - Google Patents
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Abstract
The present application provides a signal processing method and apparatus, which can generate a signal that satisfies performance requirements such as a low peak to average power ratio (PAPR) and low correlation. The method comprises the following steps: determining a sequence y comprising M elements u (i) According to the sequence y u (i) Generates a signal and transmits it. Wherein, y u (i) Is a sequence y u (i) Element in { C }, sequence { y } u (i) Is a sequence that satisfies a preset condition. M may be equal to 6, 12, 18 or 24, u being a first identity, the first identity being associated with the sequence y u (i) There is a one-to-one correspondence.
Description
Technical Field
The present application relates to the field of communications, and in particular, to a signal processing method and apparatus.
Background
In a New Radio (NR) communication system, a terminal device may generate a demodulation reference signal using a (demodulation reference signal, DMRS) sequence, but the existing DMRS sequence has poor correlation, and the generated DMRS signal has poor performance such as peak-to-average power ratio (PAPR), which is not favorable for performing channel estimation. An ideal DMRS sequence should satisfy a low correlation, and a DMRS signal generated according to the ideal DMRS sequence should satisfy performance requirements such as a low PAPR value, however, no solution for obtaining a DMRS signal that satisfies performance requirements such as a low correlation and a low PAPR value has been given in the industry.
Disclosure of Invention
The embodiment of the application provides a signal processing method and a signal processing device, which can generate signals meeting performance requirements of low PAPR, low correlation and the like, and can improve accuracy of channel estimation.
In order to achieve the purpose, the technical scheme is as follows:
in a first aspect, a signal processing method is provided. The method comprises the following steps: determining a sequence y comprising 6 elements u (i) According to the sequence y u (i) And generating and sending a first signal. Wherein, y u (i) Is a sequence y u (i) Element in { C }, sequence { y } u (i) Satisfy
u is the first symbol, the first symbol and the sequence y u (i) One-to-one correspondence, i is 0, 1, 2, 3, 4, or 5,D is a non-zero complex number, e is a natural constant,
the sequence { ω (i) } consists of the element ω (i).
Based on the signal processing method provided by the first aspect, a sequence { y ] including 6 elements is determined u (i) Is the sequence { y } u (i) Satisfy
According to the sequence y u (i) Generates a first signal and transmits it. Thus, satisfy
Of (c) { y } u (i) The autocorrelation value of the signal is small, and the generated first signal can meet the requirement of low PAPR, so that the accuracy of channel estimation can be improved.
In one possible design, when u =0, the sequence { ω (i) } is one of the following sequences: {5,-7,-3,5,-7,-7}，{-1,1,-7,-1,-1,-7}，{1,3,-7,1,-1,-7}，{-1,1,7,1,-1,-7}，{1,3,-7,3,1,-7}，{-5,5,-5,-5,3,-7}，{1,3,-7,3,3,-7}，{3,-7,-5,3,3,-7}，{3,5,-5,7,3,-7}，{-5,5,-7,-5,5,-7}，{1,5,-7,5,5,-7}，{3,7,-5,5,5,-7}，{5,-7,-5,5,-7,-5}，{-1,3,7,3,-1,-5}，{-1,1,-5,-1,1,-5}，{1,3,-5,3,1,-5}，{5,-5,-3,5,5,-5}，{5,7,-3,5,5,-5}，{5,-7,-3,-7,7,-5}，{5,-7,-1,-5,7,-5}，{7,-5,-1,-5,7,-5}，{-3,7,-5,-3,7,-5}，{5,-7,-5,5,7,-5}; And/or the presence of a gas in the atmosphere,
When u＝1, the sequence {ω(i)} is one of the following sequences: {5,-7,3,-1,3,-7}，{-1,-7,1,1,3,-7}，{1,-7,3,1,3,-7}，{3,-7,3,1,3,-7}，{-1,-7,1,3,3,-7}，{-3,-7,5,-1,5,-7}，{5,-7,3,1,5,-7}，{-3,-7,5,1,5,-7}，{-1,-7,5,1,5,-7}，{3,-7,5,1,5,-7}，{5,-7,5,1,5,-7}，{-1,-5,-7,5,-7,-5}，{5,-5,5,3,5,-5}，{1,-5,7,3,7,-5}，{5,-5,7,3,7,-5}; and/or,
When u＝2, the sequence {ω(i)} is one of the following sequences: {-3,-7,5,-7,-3,-7}，{-7,-3,5,-7,-3,-7}，{-1,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,-1,-7,-5,-1,-7}，{-3,-7,5,-5,-1,-7}，{-3,-5,7,-5,-1,-7}，{-3,-3,7,-5,-1,-7}，{-1,-5,7,-3,-1,-7}，{-3,-3,-7,-3,1,-7}，{-1,-1,-7,-1,1,-7}，{1,-1,-7,-1,1,-7}，{3,1,-7,-1,1,-7}，{3,1,-7,1,3,-7}，{3,3,-7,1,3,-7}，{3,1,-5,1,3,-7}，{5,1,-3,1,5,-7}，{3,5,-7,3,5,-7}，{1,-7,-7,-1,-7,-5}，{-1,-7,-5,-1,-7,-5}，{1,1,-7,-1,1,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}; and/or,
When u＝3, the sequence {ω(i)} is one of the following sequences: {1,5,-7,5,-7,-7}，{1,7,-7,1,-5,-7}，{1,-7,-5,5,-5,-7}，{3,-5,-3,5,-5,-7}，{3,7,-5,7,-5,-7}，{5,-7,-3,7,-5,-7}，{3,7,-3,7,-5,-7}，{5,-5,-1,7,-5,-7}，{5,-7,-3,-7,-3,-7}，{5,-5,-1,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{5,-7,-3,3,-3,-7}，{3,7,-5,7,-3,-7}，{5,-7,-3,7,-3,-7}，{5,-5,-3,7,-3,-7}，{5,-5,-3,-7,-1,-7}，{7,-5,-1,-7,-1,-7}，{5,7,-5,-5,-1,-7}，{5,-7,-3,-5,-1,-7}，{5,-5,-1,-5,-1,-7}，{7,-5,-1,-5,-1,-7}，{-7,-3,1,-3,1,-7}，{7,-3,1,-7,-3,-5}，{3,-7,-5,5,-3,-5}，{5,-3,-1,5,-3,-5}，{7,-3,1,-3,1,-5}，{7,-5,-1,5,1,-5}，{3,-7,-5,5,-5,7}; and/or,
When u＝4, the sequence {ω(i)} is the following sequence: {5,-7,1,1,3,-5}; and/or,
When u＝5, the sequence {ω(i)} is one of the following sequences: {-5,3,-1,5,-7,-7}，{-3,3,-1,7,-7,-7}，{-3,5,1,-7,-5,-7}，{-3,3,1,5,-5,-7}，{-3,5,1,7,-5,-7}，{-3,5,3,7,-5,-7}，{-1,3,3,5,-3,-7}，{1,3,3,7,-3,-7}，{-3,5,3,7,-3,-7}，{-1,5,3,7,-3,-7}，{-1,5,5,7,-3,-7}，{-5,5,1,3,-1,-7}，{-5,3,1,5,-1,-7}，{-5,5,1,5,-1,-7}，{-5,7,1,5,-1,-7}，{-3,7,3,5,-1,-7}，{5,-5,-1,-1,1,-7}，{-5,-5,-1,5,1,-7}，{5,-3,-1,-1,3,-7}，{7,-5,1,-1,3,-7}，{-3,-7,1,5,3,-7}，{-3,-5,1,5,3,-7}，{-3,-3,-1,7,3,-7}，{-5,-7,1,7,3,-7}，{-5,-5,1,7,3,-7}，{-3,-5,1,7,3,-7}，{-3,-7,3,7,3,-7}，{-3,-5,3,7,3,-7}，{-3,-5,3,-7,5,-7}，{-1,-5,5,-7,5,-7}，{7,-3,1,-1,5,-7}，{-7,-5,3,-1,5,-7}，{-1,-5,3,5,5,-7}，{-3,-7,3,7,5,-7}，{-3,-5,3,7,5,-7}，{-1,-5,3,7,5,-7}，{-1,-5,5,-5,7,-7}，{1,-5,7,-5,7,-7}，{-7,-3,3,-1,7,-7}，{1,-3,3,7,7,-7}，{3,-1,7,-5,-7,-5}，{1,5,3,-7,-3,-5}，{-1,5,3,7,-1,-5}，{1,-1,3,-7,7,-5}，{-1,-7,5,-7,7,-5}，{1,-1,7,1,-7,-1}，{5,1,-5,-1,-5,-1}，{5,-5,-1,-3,3,7}，{-1,-7,5,-7,5,7}; and/or,
When u＝6, the sequence {ω(i)} is one of the following sequences: {5,1,5,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{-3,1,5,1,-3,-7}，{-5,-1,7,3,-3,-7}，{-3,1,7,3,-3,-7}，{-1,1,-7,-7,-1,-7}，{1,7,7,-1,-1,-7}，{-5,-1,-7,5,-1,-7}，{-3,-1,-7,5,-1,-7}，{-5,1,7,5,-1,-7}，{-5,1,-7,3,1,-7}，{-5,-1,-7,7,1,-7}，{-5,1,-7,7,1,-7}，{-5,3,-5,-7,3,-7}，{-3,1,-3,-7,5,-7}，{5,1,-3,1,5,-7}，{-3,-7,5,1,5,-7}，{1,5,-7,5,-1,-5}，{3,7,-7,5,-1,-5}，{5,7,-5,5,-1,-5}，{1,-7,-5,1,1,-5}; and/or,
When u＝7, the sequence {ω(i)} is one of the following sequences: {5,-7,1,-1,3,-7}，{5,-7,3,-1,3,-7}，{5,-5,1,1,3,-7}，{5,-5,3,1,3,-7}，{5,-7,1,-1,5,-7}，{5,-5,1,-1,5,-7}，{-3,7,3,-1,5,-7}，{5,-7,1,1,5,-7}，{5,7,1,1,5,-7}，{-1,-7,3,1,5,-7}，{3,-7,3,1,5,-7}，{5,-7,3,1,5,-7}，{5,-5,3,1,5,-7}，{7,-5,3,1,5,-7}，{3,7,3,1,5,-7}，{3,-7,5,1,5,-7}，{1,-5,3,3,5,-7}，{5,-5,1,1,7,-7}，{1,-7,3,1,7,-7}，{3,-7,3,1,7,-7}，{3,-5,3,1,7,-7}，{5,-5,3,1,7,-7}，{5,-3,3,1,7,-7}，{3,-7,5,1,7,-7}，{5,-5,5,1,7,-7}，{5,-1,5,3,-7,-5}，{7,-3,5,3,5,-5}，{1,-5,5,3,7,-5}，{5,-5,5,3,7,-5}，{7,-3,5,3,7,-5}，{5,-5,7,3,7,-5}，{7,1,7,5,-5,-3}，{-1,5,-5,-7,-1,3}，{3,5,-1,-1,3,7}，{3,-7,-1,-1,5,7}，{3,-7,3,-1,5,7}; and/or,
When u＝8, the sequence {ω(i)} is one of the following sequences: {3,1,5,-1,-1,-7}，{3,1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{-1,-1,5,-1,1,-7}，{1,-1,5,-1,1,-7}，{3,1,7,-1,1,-7}，{1,-1,-7,1,3,-7}，{1,-1,7,1,3,-7}，{5,1,7,1,3,-7}，{5,1,-5,1,5,-7}，{5,1,-3,1,5,-7}，{1,1,5,1,5,-7}，{3,1,5,1,5,-7}，{3,3,7,1,5,-7}，{-5,-5,-1,-5,-1,3}，{-1,-5,5,-5,-1,3}; and/or,
When u＝9, the sequence {ω(i)} is one of the following sequences: {-7,3,-5,1,1,-7}，{-5,5,-5,3,1,-7}，{-5,5,-3,3,1,-7}，{-5,7,-3,3,1,-7}，{-5,5,-1,3,1,-7}，{-5,7,-5,5,1,-7}，{-3,-7,-3,5,1,-7}，{-5,5,-5,3,3,-7}，{-5,3,-5,5,3,-7}，{-5,5,-5,5,3,-7}，{-5,5,-3,5,3,-7}，{-5,7,-3,5,3,-7}，{-5,5,-1,5,3,-7}，{-5,7,-1,5,3,-7}，{-5,7,-3,7,3,-7}，{-3,-7,-5,5,5,-7}，{-5,7,-5,5,5,-7}，{-3,-5,-1,7,5,-7}，{-3,-7,-3,7,7,-7}，{-3,-7,-3,-7,3,-5}，{-3,7,-3,7,5,-5}，{-3,7,1,7,5,-5}，{-1,-7,1,7,7,-1}，{5,-1,5,-3,-5,3}; and/or,
When u＝10, the sequence {ω(i)} is one of the following sequences: {1,-5,1,7,-7,-7}，{3,-7,3,-7,-5,-7}，{3,7,3,7,-5,-7}，{3,7,3,-7,-3,-7}，{5,-7,5,-7,-3,-7}，{5,-5,5,-7,-3,-7}，{5,-1,5,-7,-3,-7}，{5,1,5,-7,-3,-7}，{5,1,5,-7,-1,-7}，{1,-5,1,7,7,-7}，{5,-5,5,-5,-3,-5}，{5,-3,5,-5,-3,-5}，{-7,5,-7,-5,-1,-5}，{3,-7,3,7,-5,7}，{-1,-7,-1,5,5,7}; and/or,
When u＝11, the sequence {ω(i)} is one of the following sequences: {1,5,-3,-7,5,-7}，{3,5,-1,-7,5,-7}，{-1,5,-5,7,5,-7}，{1,5,-5,7,5,-7}，{5,7,1,-5,7,-5}，{5,-5,1,-3,-5,-1}，{-5,-1,5,1,-1,3}; and/or,
When u＝12, the sequence {ω(i)} is one of the following sequences: {5,-1,3,-1,1,-7}，{7,-1,3,-1,1,-7}，{5,-1,3,-1,3,-7}，{7,-1,3,-1,3,-7}，{5,1,5,-1,3,-7}，{7,1,5,-1,3,-7}，{7,1,-7,1,3,-7}，{7,-3,5,1,3,-7}，{-7,-1,5,1,3,-7}，{5,-1,5,1,3,-7}，{7,-1,5,1,3,-7}，{7,-3,7,1,3,-7}，{-7,-1,7,1,3,-7}，{7,-1,7,1,3,-7}，{-7,1,7,1,3,-7}，{7,1,7,1,3,-7}，{7,-1,3,1,5,-7}，{-7,1,5,1,5,-7}，{7,1,5,1,5,-7}，{-7,3,5,1,5,-7}，{-7,3,7,1,5,-7}，{7,3,7,1,5,-7}，{-7,3,7,3,5,-7}，{-7,3,7,3,7,-7}，{5,1,5,1,3,-5}，{-5,1,7,3,5,-5}，{7,1,7,3,5,-5}，{-5,5,7,3,7,-5}，{5,-1,3,-1,3,7}; and/or,
When u＝13, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,-7,3,-7}，{-5,7,-3,-7,3,-7}，{-3,-7,-3,-5,3,-7}，{-3,-7,-1,-3,3,-7}，{-3,-7,-3,-7,5,-7}，{-3,7,-3,-7,5,-7}，{-1,-5,-1,-7,5,-7}，{-3,-7,-3,-5,5,-7}，{-1,-7,-3,-5,5,-7}，{-3,-7,-1,-5,5,-7}，{-3,-5,-1,-5,5,-7}，{-3,-7,-3,-3,5,-7}，{-3,-7,-3,7,5,-7}，{-1,-7,-1,-1,7,-7}，{5,1,5,-1,-5,-1}，{-5,5,-5,7,3,7}; and/or,
When u＝14, the sequence {ω(i)} is one of the following sequences: {-1,5,1,3,-7,-7}，{1,5,1,5,-7,-7}，{3,5,1,5,-7,-7}，{3,7,1,5,-7,-7}，{3,7,3,5,-7,-7}，{1,7,1,7,-7,-7}，{3,7,3,7,-7,-7}，{3,7,1,5,-5,-7}，{3,-7,3,5,-5,-7}，{1,7,3,5,-5,-7}，{3,7,1,7,-5,-7}，{3,-7,3,7,-5,-7}，{5,-7,3,7,-5,-7}，{3,7,3,7,-5,-7}，{5,-7,5,-7,-3,-7}，{5,-5,5,-7,-3,-7}，{5,-1,5,-7,-3,-7}，{3,7,3,5,-3,-7}，{3,-7,5,7,-3,-7}，{5,-5,5,7,-3,-7}，{7,-1,7,-7,-1,-7}，{7,1,7,-7,-1,-7}，{7,-5,7,-5,-1,-7}，{-7,-1,-7,-5,1,-7}，{5,-5,5,-7,-3,-5}，{5,-5,5,-5,-3,-5}，{5,-5,5,7,-3,-5}，{3,-7,3,5,-5,7}，{3,-7,3,7,-5,7}; and/or,
When u＝15, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,1,-5,-7}，{-3,-7,-3,1,-5,-7}，{-1,-5,-3,3,-3,-7}，{-5,-5,-1,5,1,-7}，{-1,-7,-7,3,-3,-5}，{-1,-3,1,5,3,-5}; and/or,
When u＝16, the sequence {ω(i)} is one of the following sequences: {-3,3,1,5,-5,-7}，{1,5,1,-7,-3,-7}，{3,5,-1,-5,-3,-7}，{3,5,1,-5,-3,-7}，{3,7,1,-5,-3,-7}，{-5,5,-1,3,-3,-7}，{-5,5,1,3,-3,-7}，{-3,5,1,5,-3,-7}，{3,5,1,-5,-1,-7}，{5,7,1,-5,-1,-7}，{-5,5,1,3,-1,-7}，{5,7,-5,5,-1,-7}，{-5,7,1,5,-1,-7}，{-3,7,3,5,-1,-7}，{5,-7,1,-3,1,-7}，{-3,-7,1,5,1,-7}，{7,-5,1,-1,3,-7}，{3,5,-1,5,3,-7}，{-3,-5,1,5,3,-7}，{1,-3,1,-7,5,-7}，{3,-3,-1,-5,5,-7}，{3,-1,1,-5,5,-7}，{5,-3,1,-3,5,-7}，{7,-3,1,-1,5,-7}，{5,3,-1,3,5,-7}，{3,-1,1,-5,7,-7}，{5,-1,1,-5,7,-7}，{3,-1,1,-3,7,-7}，{5,-1,1,-3,7,-7}，{1,5,3,-7,-3,-5}，{-3,-7,3,5,-1,-5}，{5,-7,3,-1,1,-5}，{7,-7,3,-1,1,-5}，{7,-7,5,-1,1,-5}，{-3,-7,3,5,1,-5}，{-1,-7,3,5,1,-5}，{-1,1,-3,7,1,-5}，{5,7,1,7,5,-5}，{1,-1,3,-7,7,-5}，{7,5,1,5,7,-5}，{-5,5,-7,3,-1,1}，{-3,7,-5,5,-1,1}，{-7,3,-1,1,-5,7}，{5,-5,-1,-3,3,7}; and/or,
When u＝17, the sequence {ω(i)} is one of the following sequences: {-3,5,-7,-3,-7,-7}，{-1,7,-7,-1,-7,-7}，{-3,7,-5,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{-1,-7,-5,1,-7,-7}，{5,-7,-3,5,-7,-7}，{1,3,-5,1,-5,-7}，{-7,-3,5,-7,-3,-7}，{-3,1,-7,-3,-3,-7}，{-3,1,-5,-1,-3,-7}，{-7,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,-1,-7,-5,-1,-7}，{-5,-1,-7,-3,-1,-7}，{-3,-1,-7,-3,-1,-7}，{-1,1,-7,-1,-1,-7}，{-3,1,-5,-1,-1,-7}，{-1,-1,5,-1,-1,-7}，{-1,1,-7,1,-1,-7}，{1,3,-7,1,-1,-7}，{1,3,-5,1,-1,-7}，{-1,1,7,1,-1,-7}，{1,3,7,1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-3,-3,-7,-3,1,-7}，{-3,1,-3,-3,1,-7}，{-3,3,-1,-3,1,-7}，{-1,-1,-7,-1,1,-7}，{1,1,-7,1,1,-7}，{-1,1,-5,1,1,-7}，{-1,1,-7,3,1,-7}，{1,3,-7,3,1,-7}，{-5,3,-7,-7,3,-7}，{-7,3,-7,-5,3,-7}，{-1,3,1,-1,3,-7}，{3,3,-7,1,3,-7}，{1,3,-7,3,3,-7}，{3,3,-3,3,3,-7}，{-1,3,-7,5,3,-7}，{1,3,-5,5,3,-7}，{-1,3,-7,7,3,-7}，{-3,5,-7,-7,5,-7}，{-5,5,-7,-5,5,-7}，{-5,5,7,-5,5,-7}，{-3,-7,-7,-3,5,-7}，{-7,5,-7,-3,5,-7}，{5,5,-7,1,5,-7}，{1,5,5,1,5,-7}，{3,5,-7,3,5,-7}，{1,5,-7,5,5,-7}，{-1,-7,-7,-1,7,-7}，{1,7,7,1,7,-7}，{-1,-7,-5,-1,-7,-5}，{-1,-7,-3,-1,-7,-5}，{5,-7,-5,5,-7,-5}，{5,7,-5,5,-7,-5}，{5,-5,-5,1,-5,-5}，{1,-5,-3,3,-5,-5}，{1,-5,-5,5,-5,-5}，{5,-5,-3,5,-5,-5}，{1,5,-5,1,-3,-5}，{1,5,-5,1,-1,-5}，{-5,5,-5,-5,1,-5}，{-5,1,-5,-5,5,-5}，{-5,5,-5,-3,5,-5}，{-3,7,-5,-3,7,-5}，{5,-7,-5,5,7,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}，{5,5,-5,5,5,-1}，{3,-7,5,3,7,-1}，{7,-5,3,7,5,1}，{5,-5,5,5,-5,3}，{-5,-1,-1,-5,-1,3}，{5,-1,5,5,-5,5}，{5,-5,5,5,-1,5}，{-1,5,5,-5,5,5}，{-5,5,5,-1,5,5}，{-1,5,5,-1,5,7}; and/or,
When u＝18, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,-1,-3,-7}，{-1,-7,-3,1,-3,-7}，{-3,-7,-5,-1,-1,-7}，{-5,7,-5,-1,-1,-7}，{-1,-7,-5,1,-1,-7}，{1,-7,-5,1,-1,-7}，{-3,-7,-3,1,-1,-7}，{-1,-7,-3,1,-1,-7}，{-5,5,-3,1,-1,-7}，{-3,7,-3,1,-1,-7}，{-1,-7,-1,1,-1,-7}，{1,-7,-1,1,-1,-7}，{-3,-7,-3,3,-1,-7}，{-1,-5,-3,3,-1,-7}，{-1,-7,-5,1,1,-7}，{-3,-7,-3,1,1,-7}，{-1,-7,-1,1,1,-7}，{-1,-7,-5,3,1,-7}，{-1,-5,-3,3,1,-7}，{1,-5,-3,3,1,-7}，{-1,-5,-1,3,1,-7}，{-1,-5,-1,1,1,-5}，{1,-5,-3,3,1,-5}，{1,-5,1,3,1,-5}，{-5,5,-7,-3,-5,7}，{-1,-7,-5,1,-1,7}; and/or,
When u＝19, the sequence {ω(i)} is one of the following sequences: {-1,7,-7,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{1,-7,-5,1,-5,-7}，{-7,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,1,-5,-5,-1,-7}，{-3,-1,-7,-3,-1,-7}，{-1,1,-7,-1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-5,3,-3,-5,1,-7}，{-1,-1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{1,1,-7,1,1,-7}，{1,3,-7,3,1,-7}，{-5,3,-7,-7,3,-7}，{-7,3,-7,-5,3,-7}，{-5,3,-3,-5,3,-7}，{3,1,-7,1,3,-7}，{3,3,-7,1,3,-7}，{1,3,-7,3,3,-7}，{3,3,-3,3,3,-7}，{-5,5,-7,-5,5,-7}，{3,7,1,1,5,-7}，{3,7,3,1,5,-7}，{3,7,5,1,5,-7}，{3,7,7,1,5,-7}，{3,5,-7,3,5,-7}，{5,5,-1,3,5,-7}，{-1,-7,-7,-1,7,-7}，{-1,7,5,-1,7,-7}，{3,-7,5,1,7,-7}，{-1,-7,7,1,7,-7}，{1,-7,7,1,7,-7}，{1,7,7,1,7,-7}，{5,-7,3,3,7,-7}，{-1,-7,-5,-1,-7,-5}，{1,-5,-7,1,-7,-5}，{5,-7,-5,5,-7,-5}，{5,-5,-3,5,-5,-5}，{-7,1,-7,-5,1,-5}，{-5,5,-5,-3,5,-5}，{-3,7,-5,-3,7,-5}，{-1,7,3,-1,7,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}，{-5,-5,5,-7,-5,-1}，{5,-5,5,3,-5,3}，{5,-5,5,5,-5,3}，{-1,5,5,-1,5,7}；
When u＝20, the sequence {ω(i)} is one of the following sequences: {7,-3,3,-3,-1,-7}，{7,-3,5,-3,-1,-7}，{-7,-3,5,-1,1,-7}，{7,-3,5,-1,1,-7}，{-7,-1,5,1,3,-7}，{-7,-1,-7,1,3,-5}，{-7,-1,-7,3,5,-5}，{-5,1,7,3,5,-5}，{-5,1,-5,3,5,-3}，{-5,1,-5,5,7,-3}，{5,-5,3,-3,-1,7}; and/or,
When u＝21, the sequence {ω(i)} is one of the following sequences: {5,1,5,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{-3,1,5,1,-3,-7}，{-7,-1,1,-7,-1,-7}，{-1,-1,7,-7,-1,-7}，{3,-1,-7,-3,-1,-7}，{3,1,7,-3,-1,-7}，{-7,1,1,7,-1,-7}，{3,1,-7,-1,1,-7}，{7,1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{3,1,-7,1,3,-7}，{-3,-7,5,1,5,-7}，{5,1,5,-7,-1,-5}，{5,1,7,-5,-1,-5}，{5,1,-7,-3,-1,-5}，{5,-1,3,5,-1,-5}，{5,1,3,7,-1,-5}，{5,1,-5,-3,1,-5}，{-1,3,-1,-5,7,-5}，{-7,5,1,5,-7,-3}，{-1,-5,5,7,-5,5}; and/or,
When u＝22, the sequence {ω(i)} is one of the following sequences: {3,5,-5,-7,-1,-7}，{-1,3,7,5,-1,-7}，{1,5,7,7,-1,-7}，{3,5,-5,-7,1,-7}，{5,7,-3,-5,1,-7}，{1,3,-7,7,1,-7}，{3,5,-5,-7,3,-7}，{3,7,-5,-7,3,-7}，{5,7,-3,-7,3,-7}，{5,-7,-3,-5,3,-7}，{5,-5,-3,-5,3,-7}，{5,7,-3,-5,3,-7}，{5,-5,-3,-3,3,-7}，{5,7,-3,-3,3,-7}，{3,5,-5,7,3,-7}，{3,7,-5,7,3,-7}，{3,7,-5,-7,5,-7}，{5,-7,-3,-5,5,-7}，{5,-5,-1,-5,5,-7}，{5,-7,-3,-3,5,-7}，{5,-7,-1,-3,5,-7}，{5,-5,-1,-3,5,-7}，{7,-5,-1,-3,5,-7}，{5,-7,-3,-3,7,-7}，{5,7,-3,-5,1,-5}，{-1,3,-7,5,1,-5}，{5,7,-3,-7,5,-5}，{5,7,-3,-5,5,-5}，{7,-5,1,-1,5,-5}，{7,-3,1,-3,7,-5}，{7,-3,1,-1,7,-5}，{3,5,-5,-7,-1,7}; and/or,
When u＝23, the sequence {ω(i)} is one of the following sequences: {3,3,1,-5,-1,-7}，{1,3,3,-5,-1,-7}，{5,1,7,-5,5,-7}，{7,5,-7,-3,5,-7}，{5,7,3,-3,1,-5}，{5,3,-7,-5,5,-5}，{5,5,-7,-5,7,-5}，{7,5,-7,-3,7,-5}，{7,5,-5,-1,-7,-3}; and/or,
When u＝24, the sequence {ω(i)} is one of the following sequences: {7,1,7,-7,-1,-7}，{7,1,7,-7,1,-7}，{7,-1,5,7,1,-7}，{-7,1,5,-7,5,-7}，{7,1,5,-7,5,-7}，{-7,3,7,-5,5,-7}，{5,-1,3,7,5,-7}，{-5,3,-7,-5,5,-5}，{7,1,5,-7,7,-5}，{-3,7,-3,-1,7,-1}，{5,-1,3,7,3,7}; and/or,
When u＝25, the sequence {ω(i)} is one of the following sequences: {-5,1,-3,3,-7,-7}，{-3,1,7,1,-5,-7}，{-5,1,-3,3,-5,-7}，{-3,1,-1,3,-5,-7}，{-3,3,-1,3,-5,-7}，{-3,3,-1,5,-5,-7}，{-1,3,1,5,-5,-7}，{-3,1,-3,1,-3,-7}，{-1,3,-3,1,-3,-7}，{-1,1,-3,3,-3,-7}，{-3,1,-1,3,-3,-7}，{-3,3,-1,3,-3,-7}，{-1,3,-1,3,-3,-7}，{-1,3,1,5,-3,-7}，{-1,3,3,5,-3,-7}，{-3,1,-3,3,-1,-7}，{-7,-3,3,-1,7,-7}，{1,5,3,-7,-3,-5}，{1,5,-1,3,-1,-5}，{-1,3,7,3,-1,-5}，{-1,-3,3,7,5,-5}，{1,5,1,7,-1,-3}，{-3,3,7,5,-5,-1}，{-7,-1,-5,1,-7,7}; and/or,
When u＝26, the sequence {ω(i)} is one of the following sequences: {3,-7,-5,3,3,-7}，{5,-7,-1,5,3,-7}，{3,7,-5,7,3,-7}，{5,-7,-3,7,3,-7}，{5,7,-3,7,3,-7}，{5,-7,-3,-7,5,-7}，{5,-7,-3,-5,5,-7}，{5,-5,-1,-5,5,-7}，{5,-7,-3,5,5,-7}，{3,-7,-3,7,5,-7}，{5,-7,-3,7,5,-7}，{3,7,-3,7,5,-7}，{5,-7,-1,7,5,-7}，{5,-5,-3,5,5,-5}，{-7,-3,1,-5,7,-5}，{7,-3,1,-3,7,-5}; and/or,
When u＝27, the sequence {ω(i)} is one of the following sequences: {-3,3,1,5,-5,-7}，{1,5,1,-7,-3,-7}，{3,5,1,-5,-3,-7}，{-5,5,1,3,-3,-7}，{-3,5,1,5,-3,-7}，{-1,3,1,7,-3,-7}，{1,3,3,7,-3,-7}，{5,7,-3,-5,1,-7}，{5,-7,-1,-3,1,-7}，{5,-7,1,-3,1,-7}，{-3,-7,1,5,1,-7}，{-1,-3,3,5,1,-7}，{5,7,-3,-3,3,-7}，{7,-5,1,-1,3,-7}，{7,-5,3,-1,3,-7}，{-3,-5,1,5,3,-7}，{-1,-3,1,7,3,-7}，{-1,-3,3,7,3,-7}，{-1,-3,1,-7,5,-7}，{1,-3,1,-7,5,-7}，{7,-7,1,-3,5,-7}，{5,-3,1,-3,5,-7}，{7,-5,1,-1,5,-7}，{7,-3,1,-1,5,-7}，{1,-3,1,7,5,-7}，{3,-1,1,-5,7,-7}，{5,-1,1,-3,7,-7}，{1,5,3,-7,-3,-5}，{-1,7,3,7,-3,-5}，{-1,5,3,7,-1,-5}，{7,-7,3,-1,1,-5}，{-3,-7,3,5,1,-5}，{7,5,-5,-1,5,-5}，{7,-5,1,-1,5,-5}，{1,-1,3,-7,7,-5}，{1,7,5,-7,1,-3}，{-7,3,-1,1,-5,7}，{3,5,-5,-7,-1,7}，{5,-5,-1,-3,3,7}; and/or,
When u＝28, the sequence {ω(i)} is one of the following sequences: {-3,1,-7,-3,-7,-7}，{5,-7,-5,-1,-7,-7}，{-3,-1,-5,-1,-7,-7}，{-3,1,-5,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{-3,1,-7,-3,-5,-7}，{-5,-1,-1,-7,-3,-7}，{-3,1,-7,-3,-3,-7}，{-3,1,1,-5,-1,-7}，{-1,1,-7,-1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-3,1,-3,-3,1,-7}，{-3,1,-1,-3,1,-7}，{-3,1,1,-3,1,-7}，{1,1,-7,1,1,-7}，{-3,1,-7,5,1,-7}，{-3,-7,-7,3,7,-7}，{5,-5,5,5,-5,3}; and/or,
When u＝29, the sequence {ω(i)} is the following sequence: {-3,-3,7,-5,-1,-7}。
The sequence y may be made using the sequence ω (i) determined above u (i) The autocorrelation value of y is small, so that y can be made according to the sequence u (i) The generated first signal satisfies a lower PAPR value, so that the accuracy of channel estimation can be improved.
The sequence provided by the present application ω (i) may be such that it is in accordance with the sequence y u (i) The generated first signal maintains a low PAPR. For example, for u ∈ {0,1, ·,29}, and the sequence { y ∈ { u (i) The sequence y comprises 6 elements, and the sequence y is modulated by 8PSK u (i) After applying the frequency domain filter, i.e. after DFT, the filter coefficient is [0.28,1,0.28 ] ]The PAPR is less than 2.5dB.
Sequence y u (i) The autocorrelation value of the sequence is low, so that the interference between DMRS signals in a cell can be guaranteed to be low, and for u belonging to the {0,1.. The sequence is 29} and the sequence is { y ∈ [ u (i) The sequence y comprises 6 elements, and the sequence y is modulated by 8PSK u (i) The autocorrelation of the satisfies:
where the maximum time domain shift time window T '=2, i.e. the time delay due to multipath does not exceed the maximum time domain shift time window T' =2 (as shown in fig. 4), k 1 ∈[1,T']，M＝6。
Alternatively, the sequence { y } u (i) Cyclic shift autocorrelation X of 1 Can satisfy
Wherein k is 1 Representing a sequence y u (i) The number of time samples of the time domain offset, modulo the mathematical sign mod, the mathematical sign x representing the conjugate.
Alternatively, u e {0,1,.., 29}, the sequence { ω (i) } may be {5, -7, -3,5, -7, -7}, {5, -7,3, -1,3, -7}, { -5, -1, -7, -5, -1, -7}, {5, -7, -3, -5, -1, -7}, {5, -7,1,1,3, -5}, {1, -1,7,1, -7, -1}, {1, -7, -5,1,1, -5}, { -3,7,3, -3725 zxft 25, -7}, {3,1,5, -1, -1, -7}, {3, -7, -3,5,1, -7}, { -5252, -7 zxft 375, -1, 5}, 1, 7}, respectively. {1,5, -3, -1,5, -7}, {5, -1,5, -7}, -1, -7, -1, -1,5, -7}, - {1,5, -3, -7}, -5, -5, -1,5, -7}, -1,5, -7}, -5, -1,5, -5, -5}, -1, -5, -1,5, -7}, -6258, 1,5, -1,5, -7}, -7, -1,5, -6258 }, -1,5, -1, -7}, -625, -1, -58 zxft 6258, -7}, -1,5, 6258 zzft 6258, -6258, -5},{7, -1,5,7,1, -7},{ -5,1, -3,3, -5, -7},{3, -7, -5,3,3, -7},{7, -5,3, -1,3, -7},{ -7,1, -7, -7,1, -7},{ -3, -3,7, -5, -1, -7}. The above example may be an optimal sequence { ω (i) }, the cross-correlation between 30 sets of sequences is less than 0.96, and the 30 sets of sequences may be used by different cells, so that the inter-cell interference performance is relatively small.
Optionally, the first signal may comprise a DMRS.
In one possible design, the sequence y u (i) And the sequence r u (i) Correspond to, sequence r u (i) Consists of 6 elements, r u (i) Is a sequence { r u (i) Element in { C }, sequence { r } u (i) Satisfy
C is a non-zero complex number, element
Sequence of compositions
Wherein, when u =0, the sequence
Comprises the following steps: -1, -7, -3, -5, -1,3}; and/or the presence of a gas in the gas,
when u =1, the sequence
Comprises the following steps: { -1,3,7, -3,7,3}; and/or the presence of a gas in the atmosphere,
when u =2, the sequence
Comprises the following steps: { -1,3,1,5, -1, -5}; and/or the presence of a gas in the atmosphere,
when u =3, the sequence
Comprises the following steps: { -7, -3, -7,5, -7, -3}; and/or the presence of a gas in the gas,
when u =4, the sequence
Comprises the following steps: {7,5, -1, -7, -3,1}; and/or the presence of a gas in the gas,
when u =5, the sequence
Comprises the following steps: {3, -3,1,5, -1, -1}; and/or the presence of a gas in the gas,
when u =6, the sequence
Comprises the following steps: -7, -3, -7, -3,7, -5}; and/or the presence of a gas in the gas,
when u =7, the sequence
Comprises the following steps: { -7, -3,1, -5, -1, -5}; and/or the presence of a gas in the atmosphere,
when u =8, the sequence
Comprises the following steps: { -7, -3,3, -3, -7, -3}; and/or the presence of a gas in the gas,
when u =9, the sequence
Comprises the following steps: { -7, -7, -1,1, -5,1}; and/or the presence of a gas in the atmosphere,
when u =10, the sequence
Comprises the following steps: { -7, -3, -7,5, -1,5}; and/or the presence of a gas in the gas,
when u =11, the sequence
Comprises the following steps: { -7, -7, -3,1,5, -1}; and/or the presence of a gas in the atmosphere,
when u =12, the sequence
Comprises the following steps: {5,7, -3, -5,5, -5}; and/or the presence of a gas in the gas,
when u =13, the sequence 
Comprises the following steps: { -3,7, -5, -1, -5, -1}; and/or the presence of a gas in the gas,
when u =14, the sequence
Comprises the following steps: {5, -7,7,1,5,1}; and/or the presence of a gas in the gas,
when u =15, the sequence
Comprises the following steps: { -7,3,1,5, -1,3}; and/or the presence of a gas in the gas,
when u =16, sequence
Comprises the following steps: { -7, -5, -1, -7, -5,5}; and/or the presence of a gas in the atmosphere,
when u =17, the sequence
Comprises the following steps: { -7,1, -3,3,7,5}; and/or the presence of a gas in the atmosphere,
when u =18, the sequence
Comprises the following steps: -7, -7,3,5,1,5}; and/or the presence of a gas in the gas,
when u =19, the sequence
Comprises the following steps: { -7, -3,3, -1,3, -5}; and/or the presence of a gas in the gas,
when u =20, the sequence
Comprises the following steps: { -7, -5,5,3, -7, -1}; and/or the presence of a gas in the gas,
when u =21, the sequence
Comprises the following steps: {1,5,1,5,3,7}; and/or the presence of a gas in the gas,
when u =22, the sequence
Comprises the following steps: {1, -3,1, -5, -1,3}; and/or the presence of a gas in the gas,
when u =23, the sequence
Comprises the following steps: {1,7,1, -5, -7, -1}; and/or the presence of a gas in the gas,
when u =24, the sequence
Comprises the following steps: {1, -1,3, -1, -7, -3}; and/or the presence of a gas in the atmosphere,
when u =25, the sequence
Comprises the following steps: {1, -1, -5, -1,3, -3}; and/or the presence of a gas in the gas,
when u =26, the sequence
Comprises the following steps: {1, -1,3, -1,3,7}; and/or the presence of a gas in the gas,
when u =27, the sequence
Comprises the following steps: { -5,3,7,5,3,7}; and/or the presence of a gas in the gas,
when u =28, the sequence
Comprises the following steps: { -7,1, -3,1,5,1}; and/or the presence of a gas in the atmosphere,
when u =29, the sequence
Comprises the following steps: {1,5,3, -7,5, -3}.
The above sequence { y u (i) And the sequence r u (i) Corresponds, can be understood as the sequence y when u equals 0 0 (i) R and the sequence when u equals 0 0 (i) Corresponding to the sequence y when u equals 1 1 (i) R and u equal to 1 1 (i) It is not repeated herein. When one symbol is configured for DMRS, the sequence { y corresponding to the same first identifier u may be used u (i) And the sequence r u (i) Generate 4 DMRS signals. When two symbols are configured for DMRS, the sequence { y corresponding to the same first identifier u may be used u (i) And the sequence r u (i) Generate 8 DMRS signals.
In the data communication process, the transmission of each data stream needs to correspond to one DMRS, and the method and the device can meet the scenes that the communication capacity is improved and the number of the data streams is increased. The method increases the number of sequences corresponding to the same first identifier u (sequence y) u (i) And the sequence r u (i) }) to obtain more orthogonal DMRS signals, the length of the sequence is not shortened, and a sequence satisfying requirements for a specific number of sets, a low PAPR, a low correlation, etc. can be obtained, as compared to obtaining more orthogonal DMRS signals by increasing the number of comb-shaped frequency-domain resource sets.
The sequence provided by the application { omega (i) } and the corresponding sequence
May be such that the sequence y u (i) And the sequence r u (i) The cross-correlation value between is small. For u e {0,1,...,29}, on the premise that the autocorrelation is satisfied, the sequence { ω (i) } corresponds to the sequence { y (y) } after 8PSK modulation u (i) Satisfy the sequence r simultaneously u (i) The cross-correlation is as follows:
therein, an exemplary maximum time domain shift time window T' =2,k 1 ∈[0,T']，k 2 ∈[0,T']，M＝6。
Alternatively, the sequence { y } u (i) And the sequence r u (i) The cyclic shift cross-correlation X of 2 Can satisfy
Wherein k is 1 Representing a sequence y u (i) Number of time samples of time domain offset, k 2 Representing a sequence r u (i) The number of time samples of the time domain offset, modulo the mathematical notation mod, which denotes the conjugate.
In one possible design, the above is according to the sequence y u (i) Generating and transmitting a first signal, comprising: for the sequence { y u (i) The 6 elements in the sequence are processed by discrete Fourier transform to obtain the sequence g u (i) }; will sequence { g } u (i) Mapping 6 elements in the symbol to continuous 6 subcarriers respectively to obtain a first frequency-domain signal containing 6 elements; alternatively, the sequence { g } u (i) Mapping 6 elements in the symbol to 6 subcarriers with equal intervals respectively to obtain a first frequency domain signal containing 6 elements; a first signal is generated and transmitted from the first frequency domain signal. Thus, the length of the obtained sequence is not shortened, and a sequence satisfying the number requirement can be obtained.
In a possible design, the signal processing method provided in the first aspect is to pair the sequence { y } u (i) Before discrete Fourier transform processing on 6 elements in the sequence, the method also comprises the step of carrying out discrete Fourier transform processing on the sequence y u (i) Filtering is carried out; or, in pair sequence y u (i) The discrete Fourier transform processing of the 6 elements can also comprise the step of carrying out the discrete Fourier transform processing on the sequence y u (i) And filtering is carried out. Optionally, the terminal device pair sequence y u (i) DFT processing is carried out to obtain a sequence g u (i) In the process of (c), no filter may be used.
In one possible embodiment, the first signal is a reference signal.
In a second aspect, a signal processing method is provided. The method comprises the following steps: receiving a first signal to obtain a sequence y u (i) 6 elements of { according to the sequence y } u (i) The 6 elements in the } process the first signal. Wherein, y u (i) Is a sequence y u (i) Element in, sequence y u (i) Satisfy
u is the first symbol, the first symbol and the sequence y u (i) Corresponding to each other, i is 0, 1, 2, 3, 4 or 5,D is a non-zero complex number, e is a natural constant,
the sequence { ω (i) } consists of the element ω (i).
In one possible design, when u =0, the sequence { ω (i) } is one of the following sequences: {5,-7,-3,5,-7,-7}，{-1,1,-7,-1,-1,-7}，{1,3,-7,1,-1,-7}，{-1,1,7,1,-1,-7}，{1,3,-7,3,1,-7}，{-5,5,-5,-5,3,-7}，{1,3,-7,3,3,-7}，{3,-7,-5,3,3,-7}，{3,5,-5,7,3,-7}，{-5,5,-7,-5,5,-7}，{1,5,-7,5,5,-7}，{3,7,-5,5,5,-7}，{5,-7,-5,5,-7,-5}，{-1,3,7,3,-1,-5}，{-1,1,-5,-1,1,-5}，{1,3,-5,3,1,-5}，{5,-5,-3,5,5,-5}，{5,7,-3,5,5,-5}，{5,-7,-3,-7,7,-5}，{5,-7,-1,-5,7,-5}，{7,-5,-1,-5,7,-5}，{-3,7,-5,-3,7,-5}，{5,-7,-5,5,7,-5}; And/or the presence of a gas in the atmosphere,
When u＝1, the sequence {ω(i)} is one of the following sequences: {5,-7,3,-1,3,-7}，{-1,-7,1,1,3,-7}，{1,-7,3,1,3,-7}，{3,-7,3,1,3,-7}，{-1,-7,1,3,3,-7}，{-3,-7,5,-1,5,-7}，{5,-7,3,1,5,-7}，{-3,-7,5,1,5,-7}，{-1,-7,5,1,5,-7}，{3,-7,5,1,5,-7}，{5,-7,5,1,5,-7}，{-1,-5,-7,5,-7,-5}，{5,-5,5,3,5,-5}，{1,-5,7,3,7,-5}，{5,-5,7,3,7,-5}; and/or,
When u＝2, the sequence {ω(i)} is one of the following sequences: {-3,-7,5,-7,-3,-7}，{-7,-3,5,-7,-3,-7}，{-1,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,-1,-7,-5,-1,-7}，{-3,-7,5,-5,-1,-7}，{-3,-5,7,-5,-1,-7}，{-3,-3,7,-5,-1,-7}，{-1,-5,7,-3,-1,-7}，{-3,-3,-7,-3,1,-7}，{-1,-1,-7,-1,1,-7}，{1,-1,-7,-1,1,-7}，{3,1,-7,-1,1,-7}，{3,1,-7,1,3,-7}，{3,3,-7,1,3,-7}，{3,1,-5,1,3,-7}，{5,1,-3,1,5,-7}，{3,5,-7,3,5,-7}，{1,-7,-7,-1,-7,-5}，{-1,-7,-5,-1,-7,-5}，{1,1,-7,-1,1,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}; and/or,
When u＝3, the sequence {ω(i)} is one of the following sequences: {1,5,-7,5,-7,-7}，{1,7,-7,1,-5,-7}，{1,-7,-5,5,-5,-7}，{3,-5,-3,5,-5,-7}，{3,7,-5,7,-5,-7}，{5,-7,-3,7,-5,-7}，{3,7,-3,7,-5,-7}，{5,-5,-1,7,-5,-7}，{5,-7,-3,-7,-3,-7}，{5,-5,-1,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{5,-7,-3,3,-3,-7}，{3,7,-5,7,-3,-7}，{5,-7,-3,7,-3,-7}，{5,-5,-3,7,-3,-7}，{5,-5,-3,-7,-1,-7}，{7,-5,-1,-7,-1,-7}，{5,7,-5,-5,-1,-7}，{5,-7,-3,-5,-1,-7}，{5,-5,-1,-5,-1,-7}，{7,-5,-1,-5,-1,-7}，{-7,-3,1,-3,1,-7}，{7,-3,1,-7,-3,-5}，{3,-7,-5,5,-3,-5}，{5,-3,-1,5,-3,-5}，{7,-3,1,-3,1,-5}，{7,-5,-1,5,1,-5}，{3,-7,-5,5,-5,7}; and/or,
When u＝4, the sequence {ω(i)} is the following sequence: {5,-7,1,1,3,-5}; and/or,
When u＝5, the sequence {ω(i)} is one of the following sequences: {-5,3,-1,5,-7,-7}，{-3,3,-1,7,-7,-7}，{-3,5,1,-7,-5,-7}，{-3,3,1,5,-5,-7}，{-3,5,1,7,-5,-7}，{-3,5,3,7,-5,-7}，{-1,3,3,5,-3,-7}，{1,3,3,7,-3,-7}，{-3,5,3,7,-3,-7}，{-1,5,3,7,-3,-7}，{-1,5,5,7,-3,-7}，{-5,5,1,3,-1,-7}，{-5,3,1,5,-1,-7}，{-5,5,1,5,-1,-7}，{-5,7,1,5,-1,-7}，{-3,7,3,5,-1,-7}，{5,-5,-1,-1,1,-7}，{-5,-5,-1,5,1,-7}，{5,-3,-1,-1,3,-7}，{7,-5,1,-1,3,-7}，{-3,-7,1,5,3,-7}，{-3,-5,1,5,3,-7}，{-3,-3,-1,7,3,-7}，{-5,-7,1,7,3,-7}，{-5,-5,1,7,3,-7}，{-3,-5,1,7,3,-7}，{-3,-7,3,7,3,-7}，{-3,-5,3,7,3,-7}，{-3,-5,3,-7,5,-7}，{-1,-5,5,-7,5,-7}，{7,-3,1,-1,5,-7}，{-7,-5,3,-1,5,-7}，{-1,-5,3,5,5,-7}，{-3,-7,3,7,5,-7}，{-3,-5,3,7,5,-7}，{-1,-5,3,7,5,-7}，{-1,-5,5,-5,7,-7}，{1,-5,7,-5,7,-7}，{-7,-3,3,-1,7,-7}，{1,-3,3,7,7,-7}，{3,-1,7,-5,-7,-5}，{1,5,3,-7,-3,-5}，{-1,5,3,7,-1,-5}，{1,-1,3,-7,7,-5}，{-1,-7,5,-7,7,-5}，{1,-1,7,1,-7,-1}，{5,1,-5,-1,-5,-1}，{5,-5,-1,-3,3,7}，{-1,-7,5,-7,5,7}; and/or,
When u＝6, the sequence {ω(i)} is one of the following sequences: {5,1,5,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{-3,1,5,1,-3,-7}，{-5,-1,7,3,-3,-7}，{-3,1,7,3,-3,-7}，{-1,1,-7,-7,-1,-7}，{1,7,7,-1,-1,-7}，{-5,-1,-7,5,-1,-7}，{-3,-1,-7,5,-1,-7}，{-5,1,7,5,-1,-7}，{-5,1,-7,3,1,-7}，{-5,-1,-7,7,1,-7}，{-5,1,-7,7,1,-7}，{-5,3,-5,-7,3,-7}，{-3,1,-3,-7,5,-7}，{5,1,-3,1,5,-7}，{-3,-7,5,1,5,-7}，{1,5,-7,5,-1,-5}，{3,7,-7,5,-1,-5}，{5,7,-5,5,-1,-5}，{1,-7,-5,1,1,-5}; and/or,
When u＝7, the sequence {ω(i)} is one of the following sequences: {5,-7,1,-1,3,-7}，{5,-7,3,-1,3,-7}，{5,-5,1,1,3,-7}，{5,-5,3,1,3,-7}，{5,-7,1,-1,5,-7}，{5,-5,1,-1,5,-7}，{-3,7,3,-1,5,-7}，{5,-7,1,1,5,-7}，{5,7,1,1,5,-7}，{-1,-7,3,1,5,-7}，{3,-7,3,1,5,-7}，{5,-7,3,1,5,-7}，{5,-5,3,1,5,-7}，{7,-5,3,1,5,-7}，{3,7,3,1,5,-7}，{3,-7,5,1,5,-7}，{1,-5,3,3,5,-7}，{5,-5,1,1,7,-7}，{1,-7,3,1,7,-7}，{3,-7,3,1,7,-7}，{3,-5,3,1,7,-7}，{5,-5,3,1,7,-7}，{5,-3,3,1,7,-7}，{3,-7,5,1,7,-7}，{5,-5,5,1,7,-7}，{5,-1,5,3,-7,-5}，{7,-3,5,3,5,-5}，{1,-5,5,3,7,-5}，{5,-5,5,3,7,-5}，{7,-3,5,3,7,-5}，{5,-5,7,3,7,-5}，{7,1,7,5,-5,-3}，{-1,5,-5,-7,-1,3}，{3,5,-1,-1,3,7}，{3,-7,-1,-1,5,7}，{3,-7,3,-1,5,7}; and/or,
When u＝8, the sequence {ω(i)} is one of the following sequences: {3,1,5,-1,-1,-7}，{3,1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{-1,-1,5,-1,1,-7}，{1,-1,5,-1,1,-7}，{3,1,7,-1,1,-7}，{1,-1,-7,1,3,-7}，{1,-1,7,1,3,-7}，{5,1,7,1,3,-7}，{5,1,-5,1,5,-7}，{5,1,-3,1,5,-7}，{1,1,5,1,5,-7}，{3,1,5,1,5,-7}，{3,3,7,1,5,-7}，{-5,-5,-1,-5,-1,3}，{-1,-5,5,-5,-1,3}; and/or,
When u＝9, the sequence {ω(i)} is one of the following sequences: {-7,3,-5,1,1,-7}，{-5,5,-5,3,1,-7}，{-5,5,-3,3,1,-7}，{-5,7,-3,3,1,-7}，{-5,5,-1,3,1,-7}，{-5,7,-5,5,1,-7}，{-3,-7,-3,5,1,-7}，{-5,5,-5,3,3,-7}，{-5,3,-5,5,3,-7}，{-5,5,-5,5,3,-7}，{-5,5,-3,5,3,-7}，{-5,7,-3,5,3,-7}，{-5,5,-1,5,3,-7}，{-5,7,-1,5,3,-7}，{-5,7,-3,7,3,-7}，{-3,-7,-5,5,5,-7}，{-5,7,-5,5,5,-7}，{-3,-5,-1,7,5,-7}，{-3,-7,-3,7,7,-7}，{-3,-7,-3,-7,3,-5}，{-3,7,-3,7,5,-5}，{-3,7,1,7,5,-5}，{-1,-7,1,7,7,-1}，{5,-1,5,-3,-5,3}; and/or,
When u＝10, the sequence {ω(i)} is one of the following sequences: {1,-5,1,7,-7,-7}，{3,-7,3,-7,-5,-7}，{3,7,3,7,-5,-7}，{3,7,3,-7,-3,-7}，{5,-7,5,-7,-3,-7}，{5,-5,5,-7,-3,-7}，{5,-1,5,-7,-3,-7}，{5,1,5,-7,-3,-7}，{5,1,5,-7,-1,-7}，{1,-5,1,7,7,-7}，{5,-5,5,-5,-3,-5}，{5,-3,5,-5,-3,-5}，{-7,5,-7,-5,-1,-5}，{3,-7,3,7,-5,7}，{-1,-7,-1,5,5,7}; and/or,
When u＝11, the sequence {ω(i)} is one of the following sequences: {1,5,-3,-7,5,-7}，{3,5,-1,-7,5,-7}，{-1,5,-5,7,5,-7}，{1,5,-5,7,5,-7}，{5,7,1,-5,7,-5}，{5,-5,1,-3,-5,-1}，{-5,-1,5,1,-1,3}; and/or,
When u＝12, the sequence {ω(i)} is one of the following sequences: {5,-1,3,-1,1,-7}，{7,-1,3,-1,1,-7}，{5,-1,3,-1,3,-7}，{7,-1,3,-1,3,-7}，{5,1,5,-1,3,-7}，{7,1,5,-1,3,-7}，{7,1,-7,1,3,-7}，{7,-3,5,1,3,-7}，{-7,-1,5,1,3,-7}，{5,-1,5,1,3,-7}，{7,-1,5,1,3,-7}，{7,-3,7,1,3,-7}，{-7,-1,7,1,3,-7}，{7,-1,7,1,3,-7}，{-7,1,7,1,3,-7}，{7,1,7,1,3,-7}，{7,-1,3,1,5,-7}，{-7,1,5,1,5,-7}，{7,1,5,1,5,-7}，{-7,3,5,1,5,-7}，{-7,3,7,1,5,-7}，{7,3,7,1,5,-7}，{-7,3,7,3,5,-7}，{-7,3,7,3,7,-7}，{5,1,5,1,3,-5}，{-5,1,7,3,5,-5}，{7,1,7,3,5,-5}，{-5,5,7,3,7,-5}，{5,-1,3,-1,3,7}; and/or,
When u＝13, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,-7,3,-7}，{-5,7,-3,-7,3,-7}，{-3,-7,-3,-5,3,-7}，{-3,-7,-1,-3,3,-7}，{-3,-7,-3,-7,5,-7}，{-3,7,-3,-7,5,-7}，{-1,-5,-1,-7,5,-7}，{-3,-7,-3,-5,5,-7}，{-1,-7,-3,-5,5,-7}，{-3,-7,-1,-5,5,-7}，{-3,-5,-1,-5,5,-7}，{-3,-7,-3,-3,5,-7}，{-3,-7,-3,7,5,-7}，{-1,-7,-1,-1,7,-7}，{5,1,5,-1,-5,-1}，{-5,5,-5,7,3,7}; and/or,
When u＝14, the sequence {ω(i)} is one of the following sequences: {-1,5,1,3,-7,-7}，{1,5,1,5,-7,-7}，{3,5,1,5,-7,-7}，{3,7,1,5,-7,-7}，{3,7,3,5,-7,-7}，{1,7,1,7,-7,-7}，{3,7,3,7,-7,-7}，{3,7,1,5,-5,-7}，{3,-7,3,5,-5,-7}，{1,7,3,5,-5,-7}，{3,7,1,7,-5,-7}，{3,-7,3,7,-5,-7}，{5,-7,3,7,-5,-7}，{3,7,3,7,-5,-7}，{5,-7,5,-7,-3,-7}，{5,-5,5,-7,-3,-7}，{5,-1,5,-7,-3,-7}，{3,7,3,5,-3,-7}，{3,-7,5,7,-3,-7}，{5,-5,5,7,-3,-7}，{7,-1,7,-7,-1,-7}，{7,1,7,-7,-1,-7}，{7,-5,7,-5,-1,-7}，{-7,-1,-7,-5,1,-7}，{5,-5,5,-7,-3,-5}，{5,-5,5,-5,-3,-5}，{5,-5,5,7,-3,-5}，{3,-7,3,5,-5,7}，{3,-7,3,7,-5,7}; and/or,
When u＝15, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,1,-5,-7}，{-3,-7,-3,1,-5,-7}，{-1,-5,-3,3,-3,-7}，{-5,-5,-1,5,1,-7}，{-1,-7,-7,3,-3,-5}，{-1,-3,1,5,3,-5}; and/or,
When u＝16, the sequence {ω(i)} is one of the following sequences: {-3,3,1,5,-5,-7}，{1,5,1,-7,-3,-7}，{3,5,-1,-5,-3,-7}，{3,5,1,-5,-3,-7}，{3,7,1,-5,-3,-7}，{-5,5,-1,3,-3,-7}，{-5,5,1,3,-3,-7}，{-3,5,1,5,-3,-7}，{3,5,1,-5,-1,-7}，{5,7,1,-5,-1,-7}，{-5,5,1,3,-1,-7}，{5,7,-5,5,-1,-7}，{-5,7,1,5,-1,-7}，{-3,7,3,5,-1,-7}，{5,-7,1,-3,1,-7}，{-3,-7,1,5,1,-7}，{7,-5,1,-1,3,-7}，{3,5,-1,5,3,-7}，{-3,-5,1,5,3,-7}，{1,-3,1,-7,5,-7}，{3,-3,-1,-5,5,-7}，{3,-1,1,-5,5,-7}，{5,-3,1,-3,5,-7}，{7,-3,1,-1,5,-7}，{5,3,-1,3,5,-7}，{3,-1,1,-5,7,-7}，{5,-1,1,-5,7,-7}，{3,-1,1,-3,7,-7}，{5,-1,1,-3,7,-7}，{1,5,3,-7,-3,-5}，{-3,-7,3,5,-1,-5}，{5,-7,3,-1,1,-5}，{7,-7,3,-1,1,-5}，{7,-7,5,-1,1,-5}，{-3,-7,3,5,1,-5}，{-1,-7,3,5,1,-5}，{-1,1,-3,7,1,-5}，{5,7,1,7,5,-5}，{1,-1,3,-7,7,-5}，{7,5,1,5,7,-5}，{-5,5,-7,3,-1,1}，{-3,7,-5,5,-1,1}，{-7,3,-1,1,-5,7}，{5,-5,-1,-3,3,7}; and/or,
When u＝17, the sequence {ω(i)} is one of the following sequences: {-3,5,-7,-3,-7,-7}，{-1,7,-7,-1,-7,-7}，{-3,7,-5,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{-1,-7,-5,1,-7,-7}，{5,-7,-3,5,-7,-7}，{1,3,-5,1,-5,-7}，{-7,-3,5,-7,-3,-7}，{-3,1,-7,-3,-3,-7}，{-3,1,-5,-1,-3,-7}，{-7,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,-1,-7,-5,-1,-7}，{-5,-1,-7,-3,-1,-7}，{-3,-1,-7,-3,-1,-7}，{-1,1,-7,-1,-1,-7}，{-3,1,-5,-1,-1,-7}，{-1,-1,5,-1,-1,-7}，{-1,1,-7,1,-1,-7}，{1,3,-7,1,-1,-7}，{1,3,-5,1,-1,-7}，{-1,1,7,1,-1,-7}，{1,3,7,1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-3,-3,-7,-3,1,-7}，{-3,1,-3,-3,1,-7}，{-3,3,-1,-3,1,-7}，{-1,-1,-7,-1,1,-7}，{1,1,-7,1,1,-7}，{-1,1,-5,1,1,-7}，{-1,1,-7,3,1,-7}，{1,3,-7,3,1,-7}，{-5,3,-7,-7,3,-7}，{-7,3,-7,-5,3,-7}，{-1,3,1,-1,3,-7}，{3,3,-7,1,3,-7}，{1,3,-7,3,3,-7}，{3,3,-3,3,3,-7}，{-1,3,-7,5,3,-7}，{1,3,-5,5,3,-7}，{-1,3,-7,7,3,-7}，{-3,5,-7,-7,5,-7}，{-5,5,-7,-5,5,-7}，{-5,5,7,-5,5,-7}，{-3,-7,-7,-3,5,-7}，{-7,5,-7,-3,5,-7}，{5,5,-7,1,5,-7}，{1,5,5,1,5,-7}，{3,5,-7,3,5,-7}，{1,5,-7,5,5,-7}，{-1,-7,-7,-1,7,-7}，{1,7,7,1,7,-7}，{-1,-7,-5,-1,-7,-5}，{-1,-7,-3,-1,-7,-5}，{5,-7,-5,5,-7,-5}，{5,7,-5,5,-7,-5}，{5,-5,-5,1,-5,-5}，{1,-5,-3,3,-5,-5}，{1,-5,-5,5,-5,-5}，{5,-5,-3,5,-5,-5}，{1,5,-5,1,-3,-5}，{1,5,-5,1,-1,-5}，{-5,5,-5,-5,1,-5}，{-5,1,-5,-5,5,-5}，{-5,5,-5,-3,5,-5}，{-3,7,-5,-3,7,-5}，{5,-7,-5,5,7,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}，{5,5,-5,5,5,-1}，{3,-7,5,3,7,-1}，{7,-5,3,7,5,1}，{5,-5,5,5,-5,3}，{-5,-1,-1,-5,-1,3}，{5,-1,5,5,-5,5}，{5,-5,5,5,-1,5}，{-1,5,5,-5,5,5}，{-5,5,5,-1,5,5}，{-1,5,5,-1,5,7}; and/or,
When u＝18, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,-1,-3,-7}，{-1,-7,-3,1,-3,-7}，{-3,-7,-5,-1,-1,-7}，{-5,7,-5,-1,-1,-7}，{-1,-7,-5,1,-1,-7}，{1,-7,-5,1,-1,-7}，{-3,-7,-3,1,-1,-7}，{-1,-7,-3,1,-1,-7}，{-5,5,-3,1,-1,-7}，{-3,7,-3,1,-1,-7}，{-1,-7,-1,1,-1,-7}，{1,-7,-1,1,-1,-7}，{-3,-7,-3,3,-1,-7}，{-1,-5,-3,3,-1,-7}，{-1,-7,-5,1,1,-7}，{-3,-7,-3,1,1,-7}，{-1,-7,-1,1,1,-7}，{-1,-7,-5,3,1,-7}，{-1,-5,-3,3,1,-7}，{1,-5,-3,3,1,-7}，{-1,-5,-1,3,1,-7}，{-1,-5,-1,1,1,-5}，{1,-5,-3,3,1,-5}，{1,-5,1,3,1,-5}，{-5,5,-7,-3,-5,7}，{-1,-7,-5,1,-1,7}; and/or,
When u＝19, the sequence {ω(i)} is one of the following sequences: {-1,7,-7,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{1,-7,-5,1,-5,-7}，{-7,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,1,-5,-5,-1,-7}，{-3,-1,-7,-3,-1,-7}，{-1,1,-7,-1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-5,3,-3,-5,1,-7}，{-1,-1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{1,1,-7,1,1,-7}，{1,3,-7,3,1,-7}，{-5,3,-7,-7,3,-7}，{-7,3,-7,-5,3,-7}，{-5,3,-3,-5,3,-7}，{3,1,-7,1,3,-7}，{3,3,-7,1,3,-7}，{1,3,-7,3,3,-7}，{3,3,-3,3,3,-7}，{-5,5,-7,-5,5,-7}，{3,7,1,1,5,-7}，{3,7,3,1,5,-7}，{3,7,5,1,5,-7}，{3,7,7,1,5,-7}，{3,5,-7,3,5,-7}，{5,5,-1,3,5,-7}，{-1,-7,-7,-1,7,-7}，{-1,7,5,-1,7,-7}，{3,-7,5,1,7,-7}，{-1,-7,7,1,7,-7}，{1,-7,7,1,7,-7}，{1,7,7,1,7,-7}，{5,-7,3,3,7,-7}，{-1,-7,-5,-1,-7,-5}，{1,-5,-7,1,-7,-5}，{5,-7,-5,5,-7,-5}，{5,-5,-3,5,-5,-5}，{-7,1,-7,-5,1,-5}，{-5,5,-5,-3,5,-5}，{-3,7,-5,-3,7,-5}，{-1,7,3,-1,7,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}，{-5,-5,5,-7,-5,-1}，{5,-5,5,3,-5,3}，{5,-5,5,5,-5,3}，{-1,5,5,-1,5,7}; and/or,
When u＝20, the sequence {ω(i)} is one of the following sequences: {7,-3,3,-3,-1,-7}，{7,-3,5,-3,-1,-7}，{-7,-3,5,-1,1,-7}，{7,-3,5,-1,1,-7}，{-7,-1,5,1,3,-7}，{-7,-1,-7,1,3,-5}，{-7,-1,-7,3,5,-5}，{-5,1,7,3,5,-5}，{-5,1,-5,3,5,-3}，{-5,1,-5,5,7,-3}，{5,-5,3,-3,-1,7}; and/or,
When u＝21, the sequence {ω(i)} is one of the following sequences: {5,1,5,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{-3,1,5,1,-3,-7}，{-7,-1,1,-7,-1,-7}，{-1,-1,7,-7,-1,-7}，{3,-1,-7,-3,-1,-7}，{3,1,7,-3,-1,-7}，{-7,1,1,7,-1,-7}，{3,1,-7,-1,1,-7}，{7,1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{3,1,-7,1,3,-7}，{-3,-7,5,1,5,-7}，{5,1,5,-7,-1,-5}，{5,1,7,-5,-1,-5}，{5,1,-7,-3,-1,-5}，{5,-1,3,5,-1,-5}，{5,1,3,7,-1,-5}，{5,1,-5,-3,1,-5}，{-1,3,-1,-5,7,-5}，{-7,5,1,5,-7,-3}，{-1,-5,5,7,-5,5}; and/or,
When u＝22, the sequence {ω(i)} is one of the following sequences: {3,5,-5,-7,-1,-7}，{-1,3,7,5,-1,-7}，{1,5,7,7,-1,-7}，{3,5,-5,-7,1,-7}，{5,7,-3,-5,1,-7}，{1,3,-7,7,1,-7}，{3,5,-5,-7,3,-7}，{3,7,-5,-7,3,-7}，{5,7,-3,-7,3,-7}，{5,-7,-3,-5,3,-7}，{5,-5,-3,-5,3,-7}，{5,7,-3,-5,3,-7}，{5,-5,-3,-3,3,-7}，{5,7,-3,-3,3,-7}，{3,5,-5,7,3,-7}，{3,7,-5,7,3,-7}，{3,7,-5,-7,5,-7}，{5,-7,-3,-5,5,-7}，{5,-5,-1,-5,5,-7}，{5,-7,-3,-3,5,-7}，{5,-7,-1,-3,5,-7}，{5,-5,-1,-3,5,-7}，{7,-5,-1,-3,5,-7}，{5,-7,-3,-3,7,-7}，{5,7,-3,-5,1,-5}，{-1,3,-7,5,1,-5}，{5,7,-3,-7,5,-5}，{5,7,-3,-5,5,-5}，{7,-5,1,-1,5,-5}，{7,-3,1,-3,7,-5}，{7,-3,1,-1,7,-5}，{3,5,-5,-7,-1,7}; and/or,
When u＝23, the sequence {ω(i)} is one of the following sequences: {3,3,1,-5,-1,-7}，{1,3,3,-5,-1,-7}，{5,1,7,-5,5,-7}，{7,5,-7,-3,5,-7}，{5,7,3,-3,1,-5}，{5,3,-7,-5,5,-5}，{5,5,-7,-5,7,-5}，{7,5,-7,-3,7,-5}，{7,5,-5,-1,-7,-3}; and/or,
When u＝24, the sequence {ω(i)} is one of the following sequences: {7,1,7,-7,-1,-7}，{7,1,7,-7,1,-7}，{7,-1,5,7,1,-7}，{-7,1,5,-7,5,-7}，{7,1,5,-7,5,-7}，{-7,3,7,-5,5,-7}，{5,-1,3,7,5,-7}，{-5,3,-7,-5,5,-5}，{7,1,5,-7,7,-5}，{-3,7,-3,-1,7,-1}，{5,-1,3,7,3,7}; and/or,
When u＝25, the sequence {ω(i)} is one of the following sequences: {-5,1,-3,3,-7,-7}，{-3,1,7,1,-5,-7}，{-5,1,-3,3,-5,-7}，{-3,1,-1,3,-5,-7}，{-3,3,-1,3,-5,-7}，{-3,3,-1,5,-5,-7}，{-1,3,1,5,-5,-7}，{-3,1,-3,1,-3,-7}，{-1,3,-3,1,-3,-7}，{-1,1,-3,3,-3,-7}，{-3,1,-1,3,-3,-7}，{-3,3,-1,3,-3,-7}，{-1,3,-1,3,-3,-7}，{-1,3,1,5,-3,-7}，{-1,3,3,5,-3,-7}，{-3,1,-3,3,-1,-7}，{-7,-3,3,-1,7,-7}，{1,5,3,-7,-3,-5}，{1,5,-1,3,-1,-5}，{-1,3,7,3,-1,-5}，{-1,-3,3,7,5,-5}，{1,5,1,7,-1,-3}，{-3,3,7,5,-5,-1}，{-7,-1,-5,1,-7,7}; and/or,
When u＝26, the sequence {ω(i)} is one of the following sequences: {3,-7,-5,3,3,-7}，{5,-7,-1,5,3,-7}，{3,7,-5,7,3,-7}，{5,-7,-3,7,3,-7}，{5,7,-3,7,3,-7}，{5,-7,-3,-7,5,-7}，{5,-7,-3,-5,5,-7}，{5,-5,-1,-5,5,-7}，{5,-7,-3,5,5,-7}，{3,-7,-3,7,5,-7}，{5,-7,-3,7,5,-7}，{3,7,-3,7,5,-7}，{5,-7,-1,7,5,-7}，{5,-5,-3,5,5,-5}，{-7,-3,1,-5,7,-5}，{7,-3,1,-3,7,-5}; and/or,
When u＝27, the sequence {ω(i)} is one of the following sequences: {-3,3,1,5,-5,-7}，{1,5,1,-7,-3,-7}，{3,5,1,-5,-3,-7}，{-5,5,1,3,-3,-7}，{-3,5,1,5,-3,-7}，{-1,3,1,7,-3,-7}，{1,3,3,7,-3,-7}，{5,7,-3,-5,1,-7}，{5,-7,-1,-3,1,-7}，{5,-7,1,-3,1,-7}，{-3,-7,1,5,1,-7}，{-1,-3,3,5,1,-7}，{5,7,-3,-3,3,-7}，{7,-5,1,-1,3,-7}，{7,-5,3,-1,3,-7}，{-3,-5,1,5,3,-7}，{-1,-3,1,7,3,-7}，{-1,-3,3,7,3,-7}，{-1,-3,1,-7,5,-7}，{1,-3,1,-7,5,-7}，{7,-7,1,-3,5,-7}，{5,-3,1,-3,5,-7}，{7,-5,1,-1,5,-7}，{7,-3,1,-1,5,-7}，{1,-3,1,7,5,-7}，{3,-1,1,-5,7,-7}，{5,-1,1,-3,7,-7}，{1,5,3,-7,-3,-5}，{-1,7,3,7,-3,-5}，{-1,5,3,7,-1,-5}，{7,-7,3,-1,1,-5}，{-3,-7,3,5,1,-5}，{7,5,-5,-1,5,-5}，{7,-5,1,-1,5,-5}，{1,-1,3,-7,7,-5}，{1,7,5,-7,1,-3}，{-7,3,-1,1,-5,7}，{3,5,-5,-7,-1,7}，{5,-5,-1,-3,3,7}; and/or,
When u＝28, the sequence {ω(i)} is one of the following sequences: {-3,1,-7,-3,-7,-7}，{5,-7,-5,-1,-7,-7}，{-3,-1,-5,-1,-7,-7}，{-3,1,-5,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{-3,1,-7,-3,-5,-7}，{-5,-1,-1,-7,-3,-7}，{-3,1,-7,-3,-3,-7}，{-3,1,1,-5,-1,-7}，{-1,1,-7,-1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-3,1,-3,-3,1,-7}，{-3,1,-1,-3,1,-7}，{-3,1,1,-3,1,-7}，{1,1,-7,1,1,-7}，{-3,1,-7,5,1,-7}，{-3,-7,-7,3,7,-7}，{5,-5,5,5,-5,3}; and/or,
When u＝29, the sequence {ω(i)} is the following sequence: {-3,-3,7,-5,-1,-7}。
In one possible design, the sequence y u (i) And the sequence r u (i) Correspond to, sequence r u (i) Consists of 6 elements, r u (i) Is a sequence { r u (i) Element in { C }, sequence { r } u (i) Satisfy
C is a non-zero complex number, i is 0, 1, 2, 3, 4, or 5,e is a natural constant, and the elements are
Sequence of compositions
Wherein, when u =0, the sequence
Comprises the following steps: { -1, -7, -3, -5, -1,3}; and/or the presence of a gas in the atmosphere,
when u =1, the sequence
Comprises the following steps: { -1,3,7, -3,7,3}; and/or the presence of a gas in the atmosphere,
when u =2, the sequence
Comprises the following steps: { -1,3,1,5, -1, -5}; and/or the presence of a gas in the gas,
when u =3, the sequence
Comprises the following steps: { -7, -3, -7,5, -7, -3}; and/or the presence of a gas in the gas,
when u =4, the sequence 
Comprises the following steps: {7,5, -1, -7, -3,1}; and/or the presence of a gas in the gas,
when u =5, the sequence
Comprises the following steps: {3, -3,1,5, -1, -1}; and/or the presence of a gas in the gas,
when u =6, the sequence
Comprises the following steps: -7, -3, -7, -3,7, -5}; and/or the presence of a gas in the gas,
when u =7, the sequence
Comprises the following steps: { -7, -3,1, -5, -1, -5}; and/or the presence of a gas in the gas,
when u =8, the sequence
Comprises the following steps: { -7, -3,3, -3, -7, -3}; and/or the presence of a gas in the atmosphere,
when u =9, the sequence
Comprises the following steps: { -7, -7, -1,1, -5,1}; and/or the presence of a gas in the atmosphere,
when u =10, the sequence
Comprises the following steps: { -7, -3, -7,5, -1,5}; and/or the presence of a gas in the gas,
when u =11, the sequence
Comprises the following steps: { -7, -7, -3,1,5, -1}; and/or the presence of a gas in the gas,
when u =12, the sequence
Comprises the following steps: {5,7, -3, -5,5, -5}; and/or the presence of a gas in the gas,
when u =13, the sequence
Comprises the following steps: { -3,7, -5, -1, -5, -1}; and/or the presence of a gas in the gas,
when u =14, the sequence
Comprises the following steps: {5, -7,7,1,5,1}; and/or the presence of a gas in the atmosphere,
when u =15, the sequence
Comprises the following steps: { -7,3,1,5, -1,3}; and/or the presence of a gas in the gas,
when u =16, the sequence
Comprises the following steps: -7, -5, -1, -7, -5,5}; and/or the presence of a gas in the atmosphere,
when u =17, the sequence
Comprises the following steps: { -7,1, -3,3,7,5}; and/or the presence of a gas in the gas,
when u =18, the sequence
Comprises the following steps: -7, -7,3,5,1,5}; and/or the presence of a gas in the gas,
when u =19, the sequence
Comprises the following steps: { -7, -3,3, -1,3, -5}; and/or the presence of a gas in the gas,
when u =20, the sequence
Comprises the following steps: { -7, -5,5,3, -7, -1}; and/or the presence of a gas in the gas,
when u =21, the sequence
Comprises the following steps: {1,5,1,5,3,7}; and/or the presence of a gas in the gas,
when u =22, the sequence 
Comprises the following steps: {1, -3,1, -5, -1,3}; and/or the presence of a gas in the gas,
when u =23, the sequence
Comprises the following steps: {1,7,1, -5, -7, -1}; and/or the presence of a gas in the gas,
when u =24, the sequence
Comprises the following steps: {1, -1,3, -1, -7, -3}; and/or the presence of a gas in the gas,
when u =25, the sequence
Comprises the following steps: {1, -1, -5, -1,3, -3}; andand/or the content of the first and/or second,
when u =26, the sequence
Comprises the following steps: {1, -1,3, -1,3,7}; and/or the presence of a gas in the atmosphere,
when u =27, the sequence
Comprises the following steps: { -5,3,7,5,3,7}; and/or the presence of a gas in the gas,
when u =28, the sequence
Comprises the following steps: { -7,1, -3,1,5,1}; and/or the presence of a gas in the gas,
when u =29, the sequence
Comprises the following steps: {1,5,3, -7,5, -3}.
In one possible design, the receiving the first signal includes: the first signal is acquired on 6 consecutive subcarriers, or the first signal is acquired on 6 equally spaced subcarriers.
In one possible design, the above-mentioned acquisition sequence { y } u (i) 6 elements of may comprise an acquisition sequence g u (i) 6 elements of (1); wherein the first signal consists of the sequence g u (i) Is mapped to 6 sub-carriers to generate g u (i) Is a sequence g u (i) The elements in (1); for the sequence { g u (i) Performing inverse discrete Fourier transform processing on 6 elements in the sequence to obtain a sequence y u (i) 6 elements of (1).
In addition, for technical effects of the signal processing method according to the second aspect, reference may be made to technical effects of the signal processing method according to any implementation manner of the first aspect, and details are not repeated here.
In a third aspect, a signal processing method is provided. The method comprises the following steps: determining a sequence y comprising M elements u (i) According to the sequence y u (i) And generating and sending a second signal. Wherein M is greater than 1Integer of (a), y u (i) Is a sequence y u (i) The elements in (c). Sequence y u (i) Satisfy y u (i)＝A×s(i)×j i Or a sequence y u (i) Satisfy y u (i)＝A×s(i)×j i mod 2 (ii) a u is the first symbol, the first symbol and the sequence y u (i) I is an integer greater than or equal to 0 and less than or equal to M-1, A is a non-zero plural number,
the mathematical notation mod is modulo, the element s (i) = α × (1-2 × b (i)), α being a non-zero complex number; the sequence { b (i) } consists of the elements b (i).
Based on the signal processing method provided in the third aspect, a sequence { y ] including M elements is determined u (i) H, the sequence y u (i) Satisfy y u (i)＝A×s(i)×j i Or the sequence y u (i) Satisfy y u (i)＝A×s(i)×j i mod 2 According to the sequence { y u (i) And generating and sending a second signal. Thus, satisfy y u (i)＝A×s(i)×j i Or y u (i)＝A×s(i)×j i mod 2 Sequence of (a) { y } u (i) The autocorrelation value of the signal is smaller, and the generated second signal can meet the requirement of a lower PAPR value, so that the accuracy of channel estimation can be improved.
In one possible design, when M =12 and u =0, the sequence { b (i) } is one of the following sequences: {1,0,1,1,0,0,0,1,1,0,1,0}, {1,0,0,1,0,1,0,1,0,0,1,1}; and/or the presence of a gas in the gas,
When M＝12, and u＝1, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,0,0,0,0,0,0}，{1,0,0,0,1,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,0,1,0,1,1}; and/or,
When M＝12, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,1,0,0,1,0}，{1,0,1,1,0,1,0,1,1,0,1,1}; and/or,
When M＝12, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,0,1,1,0,1,1,0}，{1,1,1,1,0,1,1,1,0,0,0,1}，{1,0,1,0,1,1,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1}; and/or,
When M＝12, and u＝4, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝12, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,1}; and/or,
When M＝12, and u＝6, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,0,0,1,0,1,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0}，{1,1,0,0,0,0,1,0,0,1,0,1}; and/or,
When M＝12, and u＝7, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,1,1,0,1,0,0}，{1,0,0,1,0,1,1,1,1,1,0,0}，{1,0,1,0,0,1,0,0,0,0,1,1}; and/or,
When M＝12, and u＝8, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,0,0,0,0,1,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0}，{1,1,0,1,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝9, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,0,1,0,0,0}，{1,0,0,0,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,0,0,1,0,1,1}; and/or,
When M＝12, and u＝10, the sequence {b (i)} is the following sequence: {1,1,0,1,1,1,1,0,0,0,0,0}; and/or,
When M＝12, and u＝11, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,0,0,0,0,0}，{1,1,1,1,0,1,1,0,0,0,0,0}，{1,1,1,0,1,1,1,0,0,0,0,0}，{1,1,0,1,0,1,0,1,1,0,0,0}，{1,1,1,1,1,1,0,1,1,0,0,0}，{1,1,1,1,1,0,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,1,1,1,0,0,0}，{1,1,1,0,0,0,0,0,0,1,0,0}，{1,0,1,0,0,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0}，{1,0,1,0,1,1,1,0,0,1,0,0}，{1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,0,0,0,0,1,1,1,0,0}，{1,0,0,1,0,1,0,1,1,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,0}，{1,1,0,1,1,1,0,1,1,0,1,0}，{1,1,0,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,0,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,1,0}，{1,1,0,0,0,1,0,1,0,1,1,0}，{1,1,0,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1}，{1,1,0,0,1,0,0,0,0,0,0,1}，{1,1,0,0,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1}，{1,0,1,1,0,1,0,1,0,0,0,1}，{1,1,1,1,0,1,1,1,0,0,0,1}，{1,0,1,1,1,1,1,1,0,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,1,0,1,0,1}，{1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1}，{1,0,0,0,1,0,1,0,1,1,0,1}，{1,0,1,0,1,1,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,1,1}，{1,1,1,0,1,1,1,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,0,0,0,1,1}，{1,0,0,1,0,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,0,1,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,1,1,1,1,1}; and/or,
When M＝12, and u＝12, the sequence {b (i)} is the following sequence: {1,0,1,0,0,1,1,1,0,1,0,0}; and/or,
When M＝12, and u＝13, the sequence {b (i)} is the following sequence: {1,1,1,0,0,0,0,0,1,1,0,1}; and/or,
When M＝12, and u＝14, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,0,0,1,0,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝12, and u＝15, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝16, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝17, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0}，{1,1,0,1,1,1,0,1,1,1,1,0}; and/or,
When M＝12, and u＝18, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,1,0,1}; and/or,
When M＝12, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,0,1,1,0,0,0}，{1,1,1,1,1,1,0,0,0,1,1,0}，{1,1,1,1,0,0,0,1,1,0,1,1}; and/or,
When M＝12, and u＝20, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,0,0,1,1,1,1,0}，{1,0,1,1,1,1,0,0,0,1,0,1}; and/or,
When M＝12, and u＝21, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,0,1,0,0,0}，{1,1,1,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,1,1,0}; and/or,
When M＝12, and u＝22, the sequence {b (i)} is the following sequence: {1,1,1,0,0,1,0,1,0,0,1,0}; and/or,
When M＝12, and u＝23, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,0,0,1,0,0,1,0}，{1,1,1,1,0,1,1,0,0,0,1,1}，{1,1,0,1,1,0,0,0,1,1,1,1}; and/or,
When M＝12, and u＝24, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,0,0,1,1,1,1,1,0}，{1,1,0,1,0,1,1,0,1,1,0,1}，{1,0,1,1,0,1,1,0,1,0,1,1}; and/or,
When M＝12, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,0,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0}，{1,0,1,0,1,1,1,0,0,1,0,0}; and/or,
When M＝12, and u＝26, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,1,1,0,0,0,0,0}，{1,1,0,1,1,1,1,0,0,0,0,0}，{1,1,1,0,0,0,0,1,0,0,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,0}，{1,0,0,1,1,1,1,1,0,0,0,0}，{1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,1,0,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,1,1,0,0,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,1,0,0,1,0,1,0,0}，{1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,0,1,0,1,1,1,0,1,0,0}，{1,0,1,0,0,1,0,1,1,1,0,0}，{1,0,0,0,0,1,1,1,1,1,0,0}，{1,1,0,1,1,0,1,0,0,0,1,0}，{1,1,0,1,0,1,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,0}，{1,0,0,1,1,1,0,1,0,0,1,0}，{1,0,0,1,0,1,1,1,0,0,1,0}，{1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,0,0,0,1,1,0}，{1,0,1,1,0,1,0,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,1,0}，{1,0,1,1,0,0,0,1,0,1,1,0}，{1,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,1,0,1,0,0,1,1,1,0}，{1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,0,1}，{1,0,1,1,1,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,0,0,0,0,1}，{1,0,1,0,1,1,0,1,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,0,0,1,0,1,0,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1}，{1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,0,0,1,0,1,0,0,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,1}，{1,0,0,0,1,0,1,1,0,1,0,1}，{1,1,1,0,0,0,0,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1}，{1,0,0,0,0,0,1,1,1,1,0,1}，{1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,1,1,0,0,0,0,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1}，{1,1,1,0,0,1,0,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,1,1}，{1,1,1,0,0,0,0,1,0,0,1,1}，{1,0,1,0,0,1,0,1,0,0,1,1}，{1,0,1,0,0,1,0,0,1,0,1,1}，{1,0,0,1,0,1,0,0,1,0,1,1}，{1,1,0,0,0,0,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,1}，{1,0,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,1,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1}，{1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,0,0,0,0,1,1,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,0,0,0,0,1,1,1,1}，{1,0,0,0,0,1,0,0,1,1,1,1}; and/or,
When M＝12, and u＝27, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,0,0,1,0,1,0}，{1,1,0,0,0,1,0,0,0,0,0,1}，{1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝12, and u＝28, the sequence {b (i)} is the following sequence: {1,1,0,1,0,0,0,1,1,0,1,0}; and/or,
When M＝12, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,1,0,0,1,1,1,1}; and/or,
using the sequence b (i) determined above, the sequence y can be made u (i) The autocorrelation value of y is small, so that y can be made according to the sequence u (i) The generated second signal satisfies a lower PAPR value, so that the accuracy of channel estimation can be improved.
For u e {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29} and M =12, the sequence { b (i) } is passed
Corresponding sequence after modulation y u (i) The autocorrelation of the satisfies: x 1 =0, wherein the maximum time-domain shift time window T '=2, i.e. the delay due to multipath does not exceed the maximum time-domain shift time window T' =2,k 1 ∈[1,T']. For u e {11,26} and M =12, the sequence { b (i) } is via
Corresponding sequence y after modulation u (i) The autocorrelation of the satisfies:
wherein, the maximum time domain shift time window T' =2,k 1 ∈[1,T']。
When M＝18, and u＝0, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0}，{1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0}，{1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0}，{1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0}，{1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0}，{1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,0}，{1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1}，{1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1}，{1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1}，{1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1}，{1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1}，{1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,1}，{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1}，{1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}，{1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝18, and u＝1, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0}，{1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0}，{1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0}，{1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0}，{1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1}，{1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}; and/or,
When M＝18, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0}，{1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0}，{1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0}，{1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0}，{1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0}，{1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0}，{1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0}，{1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0}，{1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,1,0}，{1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1}，{1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1}，{1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1}，{1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1}，{1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1}，{1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1}，{1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,1}，{1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1}，{1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1}，{1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1}，{1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1}; and/or,
When M＝18, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0}，{1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0}，{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0}，{1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1}，{1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1}，{1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1}，{1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1}，{1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1}，{1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝4, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0}，{1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0}，{1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0}，{1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1}，{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1}，{1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1}，{1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1}，{1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1}; and/or,
When M＝18, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0}，{1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0}，{1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0}，{1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0}，{1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0}，{1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0}，{1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0}，{1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0}，{1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,1,1,0}，{1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1}，{1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1}，{1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1}，{1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝6, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0}，{1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0}，{1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0}，{1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0}，{1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0}，{1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0}，{1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,1}，{1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1}，{1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1}，{1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,1,1}; and/or,
When M＝18, and u＝7, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0}，{1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0}，{1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0}，{1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0}，{1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0}，{1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1}，{1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1}，{1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1}，{1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1}，{1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1}，{1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝8, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0}，{1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0}，{1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0}，{1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0}，{1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0}，{1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0}，{1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1}，{1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1}，{1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1}，{1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1}，{1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1,1}，{1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1}，{1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}，{1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1}，{1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝9, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0}，{1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0}，{1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0}，{1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0}，{1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0}，{1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0}，{1,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,1,1}，{1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝10, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0}，{1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0}，{1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0}，{1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0}，{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0}，{1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,1,0}，{1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1}，{1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1}，{1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1}，{1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝11, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0}，{1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0}，{1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0}，{1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0}，{1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0}，{1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0}，{1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0}，{1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0}，{1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0}，{1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,0}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1}，{1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1}，{1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1}，{1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1}，{1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1}，{1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝12, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0}，{1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0}，{1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0}，{1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0}，{1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0}，{1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0}，{1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0}，{1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0}，{1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0}，{1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0}，{1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0}，{1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1}，{1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1}，{1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,1}，{1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝13, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0}，{1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0}，{1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0}，{1,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0}，{1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0}，{1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0}，{1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0}，{1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0}，{1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0,1,0}，{1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0}，{1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0}，{1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0}，{1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0}，{1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1}，{1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,1}，{1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1}，{1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1}，{1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1}，{1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1}，{1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,1}，{1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝14, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0}，{1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0}，{1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0}，{1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1}，{1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1}，{1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1}，{1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1}，{1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1}，{1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1}，{1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1}，{1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,1}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1}，{1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1}，{1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,1,1,1}，{1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1}，{1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,1,1}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝15, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0}，{1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0}，{1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0}，{1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0}，{1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0}，{1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0}，{1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0}，{1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0}，{1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0}，{1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0}，{1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0}，{1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0}，{1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1}，{1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1}，{1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1}，{1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1}，{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1}，{1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1}，{1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1}，{1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0,1,1}，{1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝16, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0}，{1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0}，{1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0}，{1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0}，{1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0}，{1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0}，{1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0}，{1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,1,0,0}，{1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0}，{1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0}，{1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0}，{1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0}，{1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0}，{1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1}，{1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1}，{1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1}，{1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1}，{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,1,1}，{1,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1}，{1,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1}，{1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,1}，{1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,1}，{1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1}，{1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1}，{1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1}，{1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝17, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0}，{1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0}，{1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0}，{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0}，{1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0}，{1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0}，{1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0}，{1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0}，{1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0}，{1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0}，{1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1}，{1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1}，{1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1}，{1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1}，{1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1}，{1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1}，{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1}，{1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1}，{1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1}，{1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1}，{1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝18, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0}，{1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0}，{1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0}，{1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1}，{1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1}，{1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1}，{1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1}，{1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1}，{1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1}，{1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1}，{1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0}，{1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1}，{1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1}，{1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1}，{1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1}，{1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1}，{1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,0,1,0,1,1,1,1,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1}，{1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1}，{1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1}，{1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1}，{1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1}，{1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝20, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0}，{1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0}，{1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1}，{1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1}，{1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1}，{1,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1}，{1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1}，{1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝21, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0}，{1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0}，{1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0}，{1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0}，{1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,1,0,0}，{1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0}，{1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0}，{1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,1,0,0}，{1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0}，{1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0}，{1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0}，{1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}，{1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1}; and/or,
When M＝18, and u＝22, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0}，{1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0}，{1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0}，{1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0}，{1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0}，{1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0}，{1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0}，{1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0}，{1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1}，{1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1}，{1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1}，{1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1}; and/or,
When M＝18, and u＝23, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0}，{1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0}，{1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0}，{1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1}，{1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1}，{1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1}，{1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1}，{1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1}，{1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1}，{1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝24, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,1,0,1,1,0,1,1,1,1,0,1,1,1,1,0}，{1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1}，{1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1}，{1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0}，{1,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0}，{1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0}，{1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0}，{1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0}，{1,0,0,1,0,0,1,0,1,1,1,1,0,1,1,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0}，{1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1}，{1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1}，{1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1}，{1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1}，{1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1}，{1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1}，{1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝26, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0}，{1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0}，{1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0}，{1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0}，{1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0}，{1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1}，{1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝27, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0}，{1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0}，{1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0}，{1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0}，{1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0}，{1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0}，{1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1}，{1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1}，{1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1}，{1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝28, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0}，{1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0}，{1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0}，{1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0}，{1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1}，{1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1}，{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1}，{1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1}，{1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1}，{1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1}，{1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0}，{1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0}，{1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0}，{1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0}，{1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1}，{1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1}，{1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1}，{1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1}，{1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1}; and/or,
using the sequence b (i) determined above, the sequence y can be made u (i) The autocorrelation value of y is small, so that y can be made according to the sequence u (i) The generated second signal satisfies a lower PAPR value, so that the accuracy of channel estimation can be improved.
For u e {0,1, ·,29}, M =18, the sequence { b (i) } is via
Corresponding sequence after modulation y u (i) The autocorrelation of the satisfies:
When M＝24, and u＝0, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0}，{1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0}，{1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0}，{1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0}，{1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,1}，{1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1}，{1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝1, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0}，{1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0}，{1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0}，{1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0}，{1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0}，{1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0}，{1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0}，{1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0}，{1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1}，{1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1}，{1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1}，{1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1}，{1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1}，{1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1}; and/or,
When M＝24, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0}，{1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0}，{1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0}，{1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0}，{1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0}，{1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1}，{1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1}，{1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1}，{1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1}，{1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1}，{1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1}，{1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1}，{1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,1}，{1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1}，{1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1}，{1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0}，{1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0}，{1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0}，{1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0}，{1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0}，{1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0}，{1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,1,1,0}，{1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1}，{1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1}，{1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1}，{1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1}，{1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,1}，{1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1}，{1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1}，{1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1}，{1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1}，{1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,1}，{1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1}，{1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝4, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0}，{1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0}，{1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0}，{1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0}，{1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0}，{1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0}，{1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0}，{1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,1,0}，{1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1}，{1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,1,1,1}，{1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1}，{1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0}，{1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0}，{1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0}，{1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0}，{1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0}，{1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0}，{1,1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0}，{1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1}，{1,0,1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}，{1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1}，{1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1}，{1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1}; and/or,
When M＝24, and u＝6, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0}，{1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0}，{1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0}，{1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0}，{1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0}，{1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0}，{1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0}，{1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0}，{1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0}，{1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0}，{1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0}，{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0}，{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0}，{1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1}，{1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1}，{1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1}，{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1}，{1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,1}，{1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝7, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0}，{1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0}，{1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0}，{1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0}，{1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0}，{1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0}，{1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0}，{1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0}，{1,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1}，{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1}，{1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1}，{1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1}，{1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1}，{1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1}，{1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1}，{1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1}，{1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1}，{1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝8, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0}，{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0}，{1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0}，{1,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0}，{1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0}，{1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0}，{1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0}，{1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1}，{1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1}，{1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1}，{1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,1}，{1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1}，{1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1}，{1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1}，{1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1}，{1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1}; and/or,
When M＝24, and u＝9, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0}，{1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0}，{1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0}，{1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0}，{1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0}，{1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0}，{1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0}，{1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,1,0}，{1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1}，{1,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,1}，{1,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1}，{1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1}，{1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1}，{1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1}，{1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1}，{1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1}，{1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1}，{1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1}，{1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝10, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0}，{1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0}，{1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0}，{1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0}，{1,1,0,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0}，{1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0}，{1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0}，{1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0}，{1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0}，{1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0}，{1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0}，{1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1}，{1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1}，{1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1}，{1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1}，{1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1}，{1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1}，{1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1}，{1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1}，{1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1}; and/or,
When M＝24, and u＝11, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0}，{1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0}，{1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0}，{1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0}，{1,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0}，{1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0}，{1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0}，{1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0}，{1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0}，{1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1}，{1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1}，{1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1}，{1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝12, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0}，{1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0}，{1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0}，{1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0}，{1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1}，{1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1}，{1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1}，{1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1}，{1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1}，{1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1}，{1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1}，{1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1}，{1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,1,0,1}，{1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1}; and/or,
When M＝24, and u＝13, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0}，{1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0}，{1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0}，{1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0}，{1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0}，{1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0}，{1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0}，{1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0}，{1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0}，{1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0}，{1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0}，{1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,0}，{1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1}，{1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1}，{1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1}，{1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1}，{1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1}，{1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1}，{1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝14, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0}，{1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0}，{1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0}，{1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0}，{1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0}，{1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0}，{1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0}，{1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0}，{1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0}，{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0}，{1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1}，{1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1}，{1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝15, the sequence {b (i)} is one of the following sequences: {1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0}，{1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0}，{1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0}，{1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1}，{1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1}，{1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,1,1}，{1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝16, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0}，{1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0}，{1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0}，{1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0}，{1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0}，{1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0}，{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0}，{1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,0}，{1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0}，{1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,0}，{1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,0,1}，{1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1}，{1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,1}，{1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1}，{1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝17, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0}，{1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0}，{1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0}，{1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0}，{1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0}，{1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,0}，{1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0}，{1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1}，{1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1}，{1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1}，{1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1}，{1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1}，{1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1}，{1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1}，{1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝18, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0}，{1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0}，{1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0}，{1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0}，{1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0}，{1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0}，{1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0}，{1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0}，{1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0}，{1,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1}，{1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1}，{1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1}，{1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1}，{1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1}，{1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1}，{1,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1}，{1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,1}，{1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0}，{1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0}，{1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0}，{1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0}，{1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0}，{1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0}，{1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0}，{1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0}，{1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0}，{1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1}，{1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1}，{1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1}，{1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1}，{1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1}，{1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,1}，{1,1,1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1}，{1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝20, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0}；1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0}，{1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0}，{1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0}，{1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0}，{1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1}，{1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1}，{1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1}，{1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1}，{1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,1}，{1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1}，{1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝21, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0}，{1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0}，{1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0}，{1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0}，{1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0}，{1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0}，{1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0}，{1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0}，{1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1}，{1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1}，{1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1}，{1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1}，{1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝22, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0}，{1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0}，{1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0}，{1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1}，{1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1}，{1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1}，{1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1}，{1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1}，{1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1}，{1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1}，{1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,1}，{1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1}; and/or,
When M＝24, and u＝23, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0}，{1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0}，{1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0}，{1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0}，{1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0}，{1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0}，{1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1}，{1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1}，{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1}，{1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,1}，{1,1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1}，{1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,1}，{1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1}，{1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1}，{1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝24, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0}，{1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0}，{1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0}，{1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0}，{1,1,1,0,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0}，{1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0}，{1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0}，{1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0}，{1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0}，{1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0}，{1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0}，{1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0}，{1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0}，{1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1}，{1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1}，{1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1}，{1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1}，{1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1}，{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1}，{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1}; and/or,
When M＝24, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0}，{1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0}，{1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0}，{1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0}，{1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0}，{1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0}，{1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0}，{1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0}，{1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0}，{1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0}，{1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0}，{1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0}，{1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0}，{1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1}，{1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1}，{1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1}，{1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1}，{1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,1}，{1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,1}，{1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝26, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0}，{1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0}，{1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0}，{1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0}，{1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0}，{1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0}，{1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0}，{1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,0}，{1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0}，{1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0}，{1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0}，{1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1}，{1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1}，{1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1}，{1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1}，{1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1}，{1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1}，{1,1,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1}，{1,0,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1}，{1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1}，{1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1}，{1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1}，{1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1}，{1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝27, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0}，{1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0}，{1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0}，{1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,1,0}，{1,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0}，{1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1}，{1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1}，{1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1}，{1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1}，{1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1}，{1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝28, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0}，{1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0}，{1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0}，{1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0}，{1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0}，{1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1}，{1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1}，{1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1}，{1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1}，{1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1}，{1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1}，{1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1}，{1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1}，{1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1}，{1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1}，{1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1}，{1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1}，{1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0}，{1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0}，{1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0}，{1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0}，{1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0}，{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1}，{1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1}，{1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1}，{1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1}，{1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1}，{1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,1,1}。
Using the sequence b (i) determined above, the sequence y can be made u (i) The autocorrelation value of y is small, so that y can be made according to the sequence u (i) The generated second signal satisfies a lower PAPR value, so that the accuracy of channel estimation can be improved.
For u e {0,1, ·,29}, M =24, the sequence { b (i) } is via
Corresponding sequence after modulation y u (i) The autocorrelation of the } satisfies: x 1 =0, wherein the maximum time-domain shift time window T '=3, i.e. the delay due to multipath does not exceed the maximum time-domain shift time window T' =3,k 1 ∈[1,T']。
The sequence { b (i) } provided by the embodiment of the present application may be according to the sequence { y } u (i) The second signal generated is kept low PAPR, for u ∈ {0,1.., 29}, and M =12, 18, or 24, the sequence { b (i) } is passed through
Corresponding sequence after modulation y u (i) After frequency domain filter is used, i.e. after DFT, filter coefficient is [0.28,1,0.28 ]]When it is, the PAPR is small.
Illustratively, when M =12 and u ∈ {0,1., 29}, the sequences { b (i) } may be {1,0,1,1,0,0,0,1,1,0,1,0}, {1,0,0,1,1,1,0,0,0,0,0,0}, {1,0,1,1,0,1,0,1,1,0,1,1}, {1,1,1,1,0,1,1,1,0,0,0,1}, {1,0,0,1,0,0,1,1,1,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, respectively {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, {1,0,1,1,1,0,1,1,0,1,1,1}, and {1,0,1,1,1,0,1,1,0,1,1,1}, respectively. The above example may be M =12, the optimal sequences { b (i) }, the cross-correlation between 30 sets of sequences is less than 0.85, so that the inter-cell interference performance is relatively small.
Illustratively, when M =18 and u ∈ {0,1., 29}, the sequences { b (i) } may be {1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1}, {1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0}, {1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1}, {1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0}, {1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, respectively, 1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, preferably, M =18, and u ∈ {0,1 }, respectively {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, and {1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}, respectively. The above example may be M =18, the optimal sequences { b (i) }, the cross-correlation between 30 sets of sequences is less than 0.57, so that the inter-cell interference performance is small.
Illustratively, when M =24 and u ∈ {0,1., 29}, the sequences { b (i) } may be {1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0}, {1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1}, {1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1}, {1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0}, {1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, respectively {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, and {1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}, respectively. The above example may be M =24, the optimal sequences { b (i) }, the cross-correlation between 30 sets of sequences is less than 0.6, so that the inter-cell interference performance is relatively small.
In one possible design, the sequence y u (i) And the sequence r u (i) Correspond to, sequence r u (i) Consists of M elements, r u (i) Is a sequence { r u (i) Element in { C }, sequence { r } u (i) Satisfy r u (i)＝B×t(i)×j i Or r u (i)＝B×t(i)×j i mod 2 (ii) a B is a non-zero complex number, the element t (i) = β × (1-2 × d (i)), β is a non-zero complex number, and the element d (i) constitutes the sequence { d (i) }.
Wherein, when M =12 and u =0, the sequence { d (i) } is: {0,0,0,0,0,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =1, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =2, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =3, the sequence { d (i) } is: {1,1,0,1,1,0,1,0,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =4, the sequence { d (i) } is: {1,1,0,0,1,0,1,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =5, the sequence { d (i) } is: {1,0,1,1,0,1,0,0,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =6, the sequence { d (i) } is: {0,0,0,1,0,0,1,0,0,0,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =7, the sequence { d (i) } is: {0,1,0,0,0,1,0,0,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =8, the sequence { d (i) } is: {1,0,1,1,1,1,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
When M =12 and u =9, the sequence { d (i) } is: {1,0,1,1,0,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =10, the sequence { d (i) } is: {1,0,1,1,0,1,0,0,0,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =11, the sequence { d (i) } is: {1,0,1,0,0,1,0,0,1,0,1,0}; and/or the presence of a gas in the atmosphere,
when M =12 and u =12, the sequence { d (i) } is: {1,1,0,0,0,0,0,1,1,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =12 and u =13, the sequence { d (i) } is: {0,1,0,0,0,1,1,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =14, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =15, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =16, the sequence { d (i) } is: {0,0,1,0,0,1,0,0,0,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =17, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,1,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =18, the sequence { d (i) } is: {0,0,0,1,1,1,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =19, the sequence { d (i) } is: {1,0,0,0,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =20, the sequence { d (i) } is: {0,1,1,1,1,0,1,0,1,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =21, the sequence { d (i) } is: {0,1,1,1,0,1,0,0,1,1,0,1}; and/or the presence of a gas in the gas,
When M =12 and u =22, the sequence { d (i) } is: {0,1,1,1,1,1,0,0,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =23, the sequence { d (i) } is: {0,1,1,1,0,0,0,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =24, the sequence { d (i) } is: {0,0,1,1,1,1,1,1,1,1,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =25, the sequence { d (i) } is: {0,1,1,1,0,0,1,1,0,1,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =26, the sequence { d (i) } is: {0,1,1,1,0,1,1,1,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =27, the sequence { d (i) } is: {0,1,1,1,1,1,1,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =28, the sequence { d (i) } is: {0,1,1,1,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =29, the sequence { d (i) } is: {0,1,1,1,0,1,1,1,1,0,1,1}; and/or the presence of a gas in the gas,
for u ∈ {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29} and M =12, the sequence { b (i) } is subject to the aforementioned autocorrelation
Corresponding sequence after modulation y u (i) Satisfy the sequence r simultaneously u (i) Cross-correlation: x 2 =0, wherein the maximum time-domain shift time window T '=2, i.e. the delay due to multipath does not exceed the maximum time-domain shift time window T' =2,k 1 ∈[0,T']，k 2 ∈[0,T']. For u ∈ {11,26} and M =12, the sequence { b (i) } is subject to the aforementioned autocorrelation
Corresponding sequence after modulation y u (i) Satisfy the sequence r simultaneously u (i) Cross-correlation:
wherein, the maximum time domain shift time window T '=2, that is, the time delay caused by multipath does not exceed the maximum time domain shift time window T' =2,k 1 ∈[0,T']，k 2 ∈[0,T']。
When M =18, and u =0, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =1, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =2, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =3, the sequence { d (i) } is: {0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =4, the sequence { d (i) } is: {1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =18, and u =5, the sequence { d (i) } is: {0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =6, the sequence { d (i) } is: {0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =7, the sequence { d (i) } is: {0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
When M =18, and u =8, the sequence { d (i) } is: {0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =9, the sequence { d (i) } is: {1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =10, the sequence { d (i) } is: {1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18 and u =11, the sequence { d (i) } is: {1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =12, the sequence { d (i) } is: {1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =13, the sequence { d (i) } is: {1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =18, and u =14, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =15, the sequence { d (i) } is: {0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =16, the sequence { d (i) } is: {0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =17, the sequence { d (i) } is: {0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =18, the sequence { d (i) } is: {0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the gas,
When M =18, and u =19, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =20, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =21, the sequence { d (i) } is: {1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =22, the sequence { d (i) } is: {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =23, the sequence { d (i) } is: {0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =24, the sequence { d (i) } is: {1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =18, and u =25, the sequence { d (i) } is: {1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =26, the sequence { d (i) } is: {0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =27, the sequence { d (i) } is: {0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =28, the sequence { d (i) } is: {0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =29, the sequence { d (i) } is: {0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0}; and/or the presence of a gas in the gas,
For u e {0,1, ·,29}, M =18, the sequence { b (i) } is subject to the aforementioned autocorrelation
Corresponding sequence after modulation y u (i) Are the same asTime of satisfaction and sequence r u (i) Cross-correlation:
wherein, the maximum time domain shift time window T '=3, that is, the time delay caused by multipath does not exceed the maximum time domain shift time window T' =3,k 1 ∈[0,T']，k 2 ∈[0,T']。
When M =24, and u =0, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =1, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0}; and/or the presence of a gas in the gas,
when M =24, and u =2, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =3, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =4, the sequence { d (i) } is: {1,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =5, the sequence { d (i) } is: {1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =6, the sequence { d (i) } is: {0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1}; and/or the presence of a gas in the gas,
When M =24 and u =7, the sequence { d (i) } is: {1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =8, the sequence { d (i) } is: {0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =9, the sequence { d (i) } is: {0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =10, the sequence { d (i) } is: {1,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0}; and/or the presence of a gas in the atmosphere,
when M =24 and u =11, the sequence { d (i) } is: {0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0}; and/or the presence of a gas in the atmosphere,
when M =24 and u =12, the sequence { d (i) } is: {1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =13, the sequence { d (i) } is: {1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0}; and/or the presence of a gas in the atmosphere,
when M =24 and u =14, the sequence { d (i) } is: {1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =15, the sequence { d (i) } is: {1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =16, the sequence { d (i) } is: {0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1}; and/or the presence of a gas in the gas,
When M =24 and u =17, the sequence { d (i) } is: {1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0}; and/or the presence of a gas in the atmosphere,
when M =24 and u =18, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1}; and & or,
when M =24 and u =19, the sequence { d (i) } is: {1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =20, the sequence { d (i) } is: {0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =21, the sequence { d (i) } is: {0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =22, the sequence { d (i) } is: {1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =23, the sequence { d (i) } is: {1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =24, the sequence { d (i) } is: {1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =24 and u =25, the sequence { d (i) } is: {1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =24 and u =26, the sequence { d (i) } is: {0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
When M =24 and u =27, the sequence { d (i) } is: {0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =28, the sequence { d (i) } is: {0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =29, the sequence { d (i) } is: {0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,1}.
For u e {0,1,.., 29}, M =24, the sequence { b (i) } is subject to the aforementioned autocorrelation
Corresponding sequence after modulation y u (i) Satisfy the sequence r simultaneously u (i) Cross-correlation: x 2 =0, wherein the maximum time-domain shift time window T '=3, i.e. the delay due to multipath does not exceed the maximum time-domain shift time window T' =3,k 1 ∈[0,T']，k 2 ∈[0,T']。
The above sequence { y } u (i) And the sequence r u (i) Is understood to be the sequence y 0 (i) And the sequence r 0 (i) Is corresponding to, the sequence y 1 (i) And the sequence r 1 (i) It is not repeated herein. M may be equal to 12, 18, or 24, and when one symbol is configured for DMRS, a sequence { y corresponding to the same first identifier u may be used u (i) And the sequence r u (i) Generate 4 DMRS signals. When two symbols are configured for DMRS, the sequence { y corresponding to the same first identifier u may be used u (i) And the sequence r u (i) Generate 8 DMRS signals.
Thus, the present application increases the number of sequences corresponding to the same first identifier u (sequence y) u (i) And the sequence r u (i) }) to obtain more orthogonal DMRS signals, and compared with the method of obtaining more orthogonal DMRS signals by increasing the number of comb-shaped frequency-domain resource groups, the length of the sequence is not shortened, and the method can obtain the DMRS signals meeting the requirements of specific group number, low PAPR, low correlation and the likeAnd (5) obtaining a sequence.
In one possible design, the above is according to the sequence y u (i) Generating and transmitting a second signal may include: for the sequence { y u (i) M elements in the sequence are subjected to discrete Fourier transform processing to obtain a sequence g u (i) }; will sequence { g } u (i) Mapping M elements in the symbol sequence to M continuous subcarriers respectively to obtain a second frequency domain signal containing the M elements; or, the sequence g u (i) Mapping M elements in the symbol to M subcarriers with equal intervals respectively to obtain a second frequency domain signal containing the M elements; and generating and transmitting a second signal according to the second frequency domain signal.
Thus, the length of the obtained sequence is not shortened, and a sequence satisfying the number requirement can be obtained.
In a possible design, the signal processing method provided in the third aspect is applied to the sequence { y } u (i) Before discrete Fourier transform processing on M elements in the sequence, the method can also comprise the step of carrying out discrete Fourier transform processing on the sequence y u (i) Filtering is carried out; or, in pair sequence y u (i) The discrete Fourier transform processing of the M elements can also comprise the step of carrying out the discrete Fourier transform processing on the sequence y u (i) And filtering is carried out.
Optionally, the terminal device pair sequence y u (i) DFT processing to get the sequence g u (i) In the process of (c), no filter may be used.
In one possible embodiment, the second signal is a reference signal.
In a fourth aspect, a signal processing method is provided. The method comprises the following steps: receiving a second signal; acquisition sequence y u (i) M elements of { according to the sequence { y } u (i) M elements in the strip process the second signal. Wherein M is an integer greater than 1, y u (i) Is a sequence y u (i) The elements in (1); sequence y u (i) Satisfy y u (i)＝A×s(i)×j i Or a sequence y u (i) Satisfy y u (i)＝A×s(i)×j i mod 2 (ii) a u is the first symbol, the first symbol and the sequence y u (i) I is an integer greater than or equal to 0 and less than or equal to M-1, A isA non-zero complex number of the plurality,
the mathematical notation mod is modulo, the element s (i) = α × (1-2 × b (i)), α being a non-zero complex number; the sequence { b (i) } consists of the elements b (i).
In one possible design, when M =12 and u =0, the sequence { b (i) } is one of the following sequences: {1,0,1,1,0,0,0,1,1,0,1,0}, {1,0,0,1,0,1,0,1,0,0,1,1}; and/or the presence of a gas in the gas,
When M =12 and u =1, the sequence { b (i) } is one of the following sequences: {1,0,0,1,1,1,0,0,0,0,0,0}, {1,0,0,0,1,1,1,1,1,1,0,1}, {1,0,0,1,0,0,1,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =2, the sequence { b (i) } is one of the following sequences: {1,0,0,1,0,0,0,1,0,0,1,0}, {1,0,1,1,0,1,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =3, the sequence { b (i) } is one of the following sequences: {1,0,1,1,1,0,1,1,0,1,1,0}, {1,1,1,1,0,1,1,1,0,0,0,1}, {1,0,1,0,1,1,1,0,1,1,0,1}, {1,1,1,1,0,0,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =4, the sequence { b (i) } is one of the following sequences: {1,1,1,1,1,1,1,0,0,1,0,0}, {1,0,0,1,0,0,1,1,1,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =5, the sequence { b (i) } is one of the following sequences: {1,1,0,1,1,1,0,0,0,1,0,1}, {1,0,1,1,1,0,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =6, the sequence { b (i) } is one of the following sequences: {1,1,0,0,0,0,0,1,0,1,1,0}, {1,1,0,1,0,0,0,1,1,1,1,0}, {1,1,0,0,0,0,1,0,0,1,0,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =7, the sequence { b (i) } is one of the following sequences: {1,0,0,0,0,1,1,1,0,1,0,0}, {1,0,0,1,0,1,1,1,1,1,0,0}, {1,0,1,0,0,1,0,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
When M =12 and u =8, the sequence { b (i) } is one of the following sequences: {1,0,1,1,1,0,0,0,0,1,0,0}, {1,1,0,1,1,0,0,0,0,0,1,0}, {1,1,0,1,1,0,1,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =9, the sequence { b (i) } is one of the following sequences: {1,0,0,0,1,0,0,1,0,0,0,0}, {1,1,1,0,1,0,0,0,1,0,0,0}, {1,0,0,0,0,1,0,0,0,1,0,0}, {1,0,1,1,1,0,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =10, the sequence { b (i) } is the following sequence: {1,1,0,1,1,1,1,0,0,0,0,0}; and/or the presence of a gas in the gas,
When M＝12, and u＝11, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,0,0,0,0,0}，{1,1,1,1,0,1,1,0,0,0,0,0}，{1,1,1,0,1,1,1,0,0,0,0,0}，{1,1,0,1,0,1,0,1,1,0,0,0}，{1,1,1,1,1,1,0,1,1,0,0,0}，{1,1,1,1,1,0,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,1,1,1,0,0,0}，{1,1,1,0,0,0,0,0,0,1,0,0}，{1,0,1,0,0,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0}，{1,0,1,0,1,1,1,0,0,1,0,0}，{1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,0,0,0,0,1,1,1,0,0}，{1,0,0,1,0,1,0,1,1,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,0}，{1,1,0,1,1,1,0,1,1,0,1,0}，{1,1,0,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,0,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,1,0}，{1,1,0,0,0,1,0,1,0,1,1,0}，{1,1,0,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1}，{1,1,0,0,1,0,0,0,0,0,0,1}，{1,1,0,0,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1}，{1,0,1,1,0,1,0,1,0,0,0,1}，{1,1,1,1,0,1,1,1,0,0,0,1}，{1,0,1,1,1,1,1,1,0,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,1,0,1,0,1}，{1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1}，{1,0,0,0,1,0,1,0,1,1,0,1}，{1,0,1,0,1,1,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,1,1}，{1,1,1,0,1,1,1,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,0,0,0,1,1}，{1,0,0,1,0,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,0,1,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,1,1,1,1,1}; and/or,
When M＝12, and u＝12, the sequence {b (i)} is the following sequence: {1,0,1,0,0,1,1,1,0,1,0,0}; and/or,
When M＝12, and u＝13, the sequence {b (i)} is the following sequence: {1,1,1,0,0,0,0,0,1,1,0,1}; and/or,
When M＝12, and u＝14, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,0,0,1,0,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝12, and u＝15, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝16, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝17, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0}，{1,1,0,1,1,1,0,1,1,1,1,0}; and/or,
When M＝12, and u＝18, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,1,0,1}; and/or,
When M＝12, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,0,1,1,0,0,0}，{1,1,1,1,1,1,0,0,0,1,1,0}，{1,1,1,1,0,0,0,1,1,0,1,1}; and/or,
When M＝12, and u＝20, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,0,0,1,1,1,1,0}，{1,0,1,1,1,1,0,0,0,1,0,1}; and/or,
When M＝12, and u＝21, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,0,1,0,0,0}，{1,1,1,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,1,1,0}; and/or,
When M＝12, and u＝22, the sequence {b (i)} is the following sequence: {1,1,1,0,0,1,0,1,0,0,1,0}; and/or,
When M＝12, and u＝23, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,0,0,1,0,0,1,0}，{1,1,1,1,0,1,1,0,0,0,1,1}，{1,1,0,1,1,0,0,0,1,1,1,1}; and/or,
When M＝12, and u＝24, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,0,0,1,1,1,1,1,0}，{1,1,0,1,0,1,1,0,1,1,0,1}，{1,0,1,1,0,1,1,0,1,0,1,1}; and/or,
When M＝12, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,0,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0}，{1,0,1,0,1,1,1,0,0,1,0,0}; and/or,
When M＝12, and u＝26, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,1,1,0,0,0,0,0}，{1,1,0,1,1,1,1,0,0,0,0,0}，{1,1,1,0,0,0,0,1,0,0,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,0}，{1,0,0,1,1,1,1,1,0,0,0,0}，{1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,1,0,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,1,1,0,0,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,1,0,0,1,0,1,0,0}，{1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,0,1,0,1,1,1,0,1,0,0}，{1,0,1,0,0,1,0,1,1,1,0,0}，{1,0,0,0,0,1,1,1,1,1,0,0}，{1,1,0,1,1,0,1,0,0,0,1,0}，{1,1,0,1,0,1,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,0}，{1,0,0,1,1,1,0,1,0,0,1,0}，{1,0,0,1,0,1,1,1,0,0,1,0}，{1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,0,0,0,1,1,0}，{1,0,1,1,0,1,0,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,1,0}，{1,0,1,1,0,0,0,1,0,1,1,0}，{1,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,1,0,1,0,0,1,1,1,0}，{1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,0,1}，{1,0,1,1,1,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,0,0,0,0,1}，{1,0,1,0,1,1,0,1,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,0,0,1,0,1,0,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1}，{1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,0,0,1,0,1,0,0,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,1}，{1,0,0,0,1,0,1,1,0,1,0,1}，{1,1,1,0,0,0,0,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1}，{1,0,0,0,0,0,1,1,1,1,0,1}，{1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,1,1,0,0,0,0,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1}，{1,1,1,0,0,1,0,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,1,1}，{1,1,1,0,0,0,0,1,0,0,1,1}，{1,0,1,0,0,1,0,1,0,0,1,1}，{1,0,1,0,0,1,0,0,1,0,1,1}，{1,0,0,1,0,1,0,0,1,0,1,1}，{1,1,0,0,0,0,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,1}，{1,0,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,1,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1}，{1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,0,0,0,0,1,1,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,0,0,0,0,1,1,1,1}，{1,0,0,0,0,1,0,0,1,1,1,1}; and/or,
When M＝12, and u＝27, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,0,0,1,0,1,0}，{1,1,0,0,0,1,0,0,0,0,0,1}，{1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝12, and u＝28, the sequence {b (i)} is the following sequence: {1,1,0,1,0,0,0,1,1,0,1,0}; and/or,
When M＝12, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,1,0,0,1,1,1,1}; and/or,
When M＝18, and u＝0, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0}，{1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0}，{1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0}，{1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0}，{1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0}，{1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,0}，{1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1}，{1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1}，{1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1}，{1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1}，{1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1}，{1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,1}，{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1}，{1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}，{1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝18, and u＝1, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0}，{1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0}，{1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0}，{1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0}，{1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1}，{1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}; and/or,
When M＝18, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0}，{1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0}，{1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0}，{1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0}，{1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0}，{1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0}，{1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0}，{1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0}，{1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,1,0}，{1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1}，{1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1}，{1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1}，{1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1}，{1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1}，{1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1}，{1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,1}，{1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1}，{1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1}，{1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1}，{1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1}; and/or,
When M＝18, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0}，{1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0}，{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0}，{1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1}，{1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1}，{1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1}，{1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1}，{1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1}，{1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝4, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0}，{1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0}，{1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0}，{1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1}，{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1}，{1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1}，{1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1}，{1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1}; and/or,
When M＝18, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0}，{1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0}，{1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0}，{1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0}，{1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0}，{1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0}，{1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0}，{1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0}，{1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,1,1,0}，{1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1}，{1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1}，{1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1}，{1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝6, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0}，{1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0}，{1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0}，{1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0}，{1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0}，{1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0}，{1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,1}，{1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1}，{1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1}，{1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,1,1}; and/or,
When M＝18, and u＝7, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0}，{1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0}，{1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0}，{1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0}，{1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0}，{1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1}，{1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1}，{1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1}，{1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1}，{1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1}，{1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝8, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0}，{1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0}，{1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0}，{1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0}，{1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0}，{1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0}，{1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1}，{1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1}，{1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1}，{1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1}，{1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1,1}，{1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1}，{1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}，{1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1}，{1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝9, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0}，{1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0}，{1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0}，{1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0}，{1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0}，{1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0}，{1,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,1,1}，{1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝10, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0}，{1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0}，{1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0}，{1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0}，{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0}，{1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,1,0}，{1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1}，{1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1}，{1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1}，{1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝11, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0}，{1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0}，{1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0}，{1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0}，{1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0}，{1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0}，{1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0}，{1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0}，{1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0}，{1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,0}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1}，{1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1}，{1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1}，{1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1}，{1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1}，{1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝12, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0}，{1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0}，{1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0}，{1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0}，{1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0}，{1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0}，{1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0}，{1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0}，{1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0}，{1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0}，{1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0}，{1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1}，{1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1}，{1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,1}，{1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝13, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0}，{1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0}，{1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0}，{1,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0}，{1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0}，{1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0}，{1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0}，{1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0}，{1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0,1,0}，{1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0}，{1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0}，{1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0}，{1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0}，{1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1}，{1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,1}，{1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1}，{1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1}，{1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1}，{1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1}，{1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,1}，{1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝14, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0}，{1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0}，{1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0}，{1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1}，{1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1}，{1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1}，{1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1}，{1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1}，{1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1}，{1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1}，{1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,1}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1}，{1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1}，{1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,1,1,1}，{1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1}，{1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,1,1}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝15, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0}，{1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0}，{1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0}，{1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0}，{1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0}，{1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0}，{1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0}，{1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0}，{1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0}，{1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0}，{1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0}，{1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0}，{1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1}，{1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1}，{1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1}，{1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1}，{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1}，{1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1}，{1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1}，{1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0,1,1}，{1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝16, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0}，{1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0}，{1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0}，{1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0}，{1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0}，{1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0}，{1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0}，{1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,1,0,0}，{1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0}，{1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0}，{1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0}，{1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0}，{1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0}，{1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1}，{1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1}，{1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1}，{1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1}，{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,1,1}，{1,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1}，{1,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1}，{1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,1}，{1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,1}，{1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1}，{1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1}，{1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1}，{1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝17, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0}，{1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0}，{1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0}，{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0}，{1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0}，{1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0}，{1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0}，{1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0}，{1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0}，{1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0}，{1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1}，{1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1}，{1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1}，{1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1}，{1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1}，{1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1}，{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1}，{1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1}，{1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1}，{1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1}，{1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝18, the sequence {b (i)} is one of the following sequences:{1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0}，{1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0}，{1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0}，{1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1}，{1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1}，{1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1}，{1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1}，{1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1}，{1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1}，{1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1}，{1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝19, the sequence {b (i)} is one of the following sequences:{1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0}，{1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1}，{1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1}，{1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1}，{1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1}，{1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1}，{1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,0,1,0,1,1,1,1,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1}，{1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1}，{1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1}，{1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1}，{1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1}，{1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝20, the sequence {b (i)} is one of the following sequences:{1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0}，{1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0}，{1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1}，{1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1}，{1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1}，{1,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1}，{1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1}，{1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝21, the sequence {b (i)} is one of the following sequences:{1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0}，{1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0}，{1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0}，{1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0}，{1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,1,0,0}，{1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0}，{1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0}，{1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,1,0,0}，{1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0}，{1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0}，{1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0}，{1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}，{1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1}; and/or,
When M＝18, and u＝22, the sequence {b (i)} is one of the following sequences:{1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0}，{1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0}，{1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0}，{1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0}，{1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0}，{1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0}，{1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0}，{1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0}，{1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1}，{1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1}，{1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1}，{1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1}; and/or,
When M＝18, and u＝23, the sequence {b (i)} is one of the following sequences:{1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0}，{1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0}，{1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0}，{1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1}，{1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1}，{1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1}，{1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1}，{1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1}，{1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1}，{1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝24, the sequence {b (i)} is one of the following sequences:{1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,1,0,1,1,0,1,1,1,1,0,1,1,1,1,0}，{1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1}，{1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1}，{1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝25, the sequence {b (i)} is one of the following sequences:{1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0}，{1,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0}，{1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0}，{1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0}，{1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0}，{1,0,0,1,0,0,1,0,1,1,1,1,0,1,1,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0}，{1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1}，{1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1}，{1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1}，{1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1}，{1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1}，{1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1}，{1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝26, the sequence {b (i)} is one of the following sequences:{1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0}，{1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0}，{1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0}，{1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0}，{1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0}，{1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1}，{1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝27, the sequence {b (i)} is one of the following sequences:{1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0}，{1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0}，{1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0}，{1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0}，{1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0}，{1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0}，{1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1}，{1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1}，{1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1}，{1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝28, the sequence {b (i)} is one of the following sequences:{1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0}，{1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0}，{1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0}，{1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0}，{1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1}，{1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1}，{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1}，{1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1}，{1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1}，{1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1}，{1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝29, the sequence {b (i)} is one of the following sequences:{1,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0}，{1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0}，{1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0}，{1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0}，{1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1}，{1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1}，{1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1}，{1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1}，{1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝0, the sequence {b (i)} is one of the following sequences:{1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0}，{1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0}，{1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0}，{1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0}，{1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,1}，{1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1}，{1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝1, the sequence {b (i)} is one of the following sequences:{1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0}，{1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0}，{1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0}，{1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0}，{1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0}，{1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0}，{1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0}，{1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0}，{1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1}，{1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1}，{1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1}，{1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1}，{1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1}，{1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1}; and/or,
When M＝24, and u＝2, the sequence {b (i)} is one of the following sequences:{1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0}，{1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0}，{1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0}，{1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0}，{1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0}，{1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1}，{1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1}，{1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1}，{1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1}，{1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1}，{1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1}，{1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1}，{1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,1}，{1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1}，{1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1}，{1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝3, the sequence {b (i)} is one of the following sequences:{1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0}，{1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0}，{1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0}，{1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0}，{1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0}，{1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0}，{1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,1,1,0}，{1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1}，{1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1}，{1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1}，{1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1}，{1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,1}，{1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1}，{1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1}，{1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1}，{1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1}，{1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,1}，{1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1}，{1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝4, the sequence {b (i)} is one of the following sequences:{1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0}，{1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0}，{1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0}，{1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0}，{1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0}，{1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0}，{1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0}，{1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,1,0}，{1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1}，{1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,1,1,1}，{1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1}，{1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝5, the sequence {b (i)} is one of the following sequences:{1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0}，{1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0}，{1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0}，{1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0}，{1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0}，{1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0}，{1,1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0}，{1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1}，{1,0,1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}，{1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1}，{1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1}，{1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1}; and/or,
When M＝24, and u＝6, the sequence {b (i)} is one of the following sequences:{1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0}，{1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0}，{1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0}，{1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0}，{1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0}，{1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0}，{1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0}，{1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0}，{1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0}，{1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0}，{1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0}，{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0}，{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0}，{1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1}，{1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1}，{1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1}，{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1}，{1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,1}，{1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝7, the sequence {b (i)} is one of the following sequences:{1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0}，{1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0}，{1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0}，{1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0}，{1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0}，{1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0}，{1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0}，{1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0}，{1,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1}，{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1}，{1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1}，{1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1}，{1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1}，{1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1}，{1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1}，{1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1}，{1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1}，{1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝8, the sequence {b (i)} is one of the following sequences:{1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0}，{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0}，{1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0}，{1,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0}，{1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0}，{1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0}，{1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0}，{1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1}，{1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1}，{1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1}，{1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,1}，{1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1}，{1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1}，{1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1}，{1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1}，{1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1}; and/or,
When M＝24, and u＝9, the sequence {b (i)} is one of the following sequences:{1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0}，{1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0}，{1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0}，{1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0}，{1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0}，{1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0}，{1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0}，{1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,1,0}，{1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1}，{1,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,1}，{1,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1}，{1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1}，{1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1}，{1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1}，{1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1}，{1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1}，{1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1}，{1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1}，{1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝10, the sequence {b (i)} is one of the following sequences:{1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0}，{1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0}，{1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0}，{1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0}，{1,1,0,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0}，{1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0}，{1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0}，{1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0}，{1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0}，{1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0}，{1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0}，{1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1}，{1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1}，{1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1}，{1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1}，{1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1}，{1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1}，{1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1}，{1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1}，{1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1}; and/or,
When M＝24, and u＝11, the sequence {b (i)} is one of the following sequences:{1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0}，{1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0}，{1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0}，{1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0}，{1,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0}，{1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0}，{1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0}，{1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0}，{1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0}，{1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1}，{1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1}，{1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1}，{1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝12, the sequence {b (i)} is one of the following sequences:{1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0}，{1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0}，{1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0}，{1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0}，{1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1}，{1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1}，{1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1}，{1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1}，{1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1}，{1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1}，{1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1}，{1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1}，{1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,1,0,1}，{1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1}; and/or,
When M＝24, and u＝13, the sequence {b (i)} is one of the following sequences:{1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0}，{1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0}，{1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0}，{1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0}，{1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0}，{1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0}，{1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0}，{1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0}，{1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0}，{1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0}，{1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0}，{1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,0}，{1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1}，{1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1}，{1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1}，{1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1}，{1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1}，{1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1}，{1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝14, the sequence {b (i)} is one of the following sequences:{1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0}，{1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0}，{1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0}，{1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0}，{1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0}，{1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0}，{1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0}，{1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0}，{1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0}，{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0}，{1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1}，{1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1}，{1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝15, the sequence {b (i)} is one of the following sequences:{1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0}，{1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0}，{1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0}，{1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1}，{1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1}，{1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,1,1}，{1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝16, the sequence {b (i)} is one of the following sequences:{1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0}，{1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0}，{1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0}，{1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0}，{1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0}，{1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0}，{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0}，{1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,0}，{1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0}，{1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,0}，{1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,0,1}，{1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1}，{1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,1}，{1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1}，{1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝17, the sequence {b (i)} is one of the following sequences:{1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0}，{1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0}，{1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0}，{1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0}，{1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0}，{1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,0}，{1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0}，{1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1}，{1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1}，{1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1}，{1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1}，{1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1}，{1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1}，{1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1}，{1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝18, the sequence {b (i)} is one of the following sequences:{1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0}，{1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0}，{1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0}，{1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0}，{1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0}，{1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0}，{1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0}，{1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0}，{1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0}，{1,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1}，{1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1}，{1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1}，{1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1}，{1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1}，{1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1}，{1,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1}，{1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,1}，{1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝19, the sequence {b (i)} is one of the following sequences:{1,0,0,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0}，{1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0}，{1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0}，{1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0}，{1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0}，{1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0}，{1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0}，{1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0}，{1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0}，{1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1}，{1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1}，{1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1}，{1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1}，{1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1}，{1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,1}，{1,1,1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1}，{1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝20, the sequence {b (i)} is one of the following sequences:{1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0}；1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0}，{1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0}，{1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0}，{1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0}，{1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1}，{1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1}，{1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1}，{1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1}，{1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,1}，{1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1}，{1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝21, the sequence {b (i)} is one of the following sequences:{1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0}，{1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0}，{1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0}，{1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0}，{1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0}，{1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0}，{1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0}，{1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0}，{1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1}，{1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1}，{1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1}，{1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1}，{1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝22, the sequence {b (i)} is one of the following sequences:{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0}，{1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0}，{1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0}，{1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1}，{1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1}，{1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1}，{1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1}，{1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1}，{1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1}，{1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1}，{1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,1}，{1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1}; and/or,
When M＝24, and u＝23, the sequence {b (i)} is one of the following sequences:{1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0}，{1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0}，{1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0}，{1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0}，{1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0}，{1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0}，{1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1}，{1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1}，{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1}，{1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,1}，{1,1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1}，{1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,1}，{1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1}，{1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1}，{1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝24, the sequence {b (i)} is one of the following sequences:{1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0}，{1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0}，{1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0}，{1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0}，{1,1,1,0,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0}，{1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0}，{1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0}，{1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0}，{1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0}，{1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0}，{1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0}，{1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0}，{1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0}，{1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1}，{1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1}，{1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1}，{1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1}，{1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1}，{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1}，{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1}; and/or,
When M＝24, and u＝25, the sequence {b (i)} is one of the following sequences:{1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0}，{1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0}，{1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0}，{1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0}，{1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0}，{1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0}，{1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0}，{1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0}，{1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0}，{1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0}，{1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0}，{1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0}，{1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0}，{1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1}，{1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1}，{1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1}，{1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1}，{1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,1}，{1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,1}，{1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝26, the sequence {b (i)} is one of the following sequences:{1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0}，{1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0}，{1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0}，{1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0}，{1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0}，{1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0}，{1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0}，{1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,0}，{1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0}，{1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0}，{1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0}，{1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1}，{1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1}，{1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1}，{1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1}，{1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1}，{1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1}，{1,1,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1}，{1,0,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1}，{1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1}，{1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1}，{1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1}，{1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1}，{1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝27, the sequence {b (i)} is one of the following sequences:{1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0}，{1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0}，{1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0}，{1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,1,0}，{1,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0}，{1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1}，{1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1}，{1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1}，{1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1}，{1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1}，{1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝28, the sequence {b (i)} is one of the following sequences:{1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0}，{1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0}，{1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0}，{1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0}，{1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0}，{1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1}，{1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1}，{1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1}，{1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1}，{1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1}，{1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1}，{1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1}，{1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1}，{1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1}，{1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1}，{1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1}，{1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1}，{1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝29, the sequence {b (i)} is one of the following sequences:{1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0}，{1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0}，{1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0}，{1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0}，{1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0}，{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1}，{1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1}，{1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1}，{1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1}，{1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1}，{1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,1,1}。
In one possible design, the sequence y u (i) And the sequence r u (i) Correspond to, sequence r u (i) Consists of M elements, r u (i) Is a sequence { r u (i) Element in { C }, sequence { r } u (i) Satisfy r u (i)＝B×t(i)×j i Or r u (i)＝B×t(i)×j i mod 2; b is a non-zero complex number, the element t (i) = β × (1-2 × d (i)), β is a non-zero complex number, and the element d (i) constitutes the sequence { d (i) }.
Wherein, when M =12 and u =0, the sequence { d (i) } is: {0,0,0,0,0,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =1, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =2, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =3, the sequence { d (i) } is: {1,1,0,1,1,0,1,0,1,0,0,0}; and/or the presence of a gas in the atmosphere,
when M =12 and u =4, the sequence { d (i) } is: {1,1,0,0,1,0,1,0,1,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =5, the sequence { d (i) } is: {1,0,1,1,0,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =6, the sequence { d (i) } is: {0,0,0,1,0,0,1,0,0,0,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =7, the sequence { d (i) } is: {0,1,0,0,0,1,0,0,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =8, the sequence { d (i) } is: {1,0,1,1,1,1,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
When M =12 and u =9, the sequence { d (i) } is: {1,0,1,1,0,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =10, the sequence { d (i) } is: {1,0,1,1,0,1,0,0,0,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =11, the sequence { d (i) } is: {1,0,1,0,0,1,0,0,1,0,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =12, the sequence { d (i) } is: {1,1,0,0,0,0,0,1,1,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =13, the sequence { d (i) } is: {0,1,0,0,0,1,1,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =14, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =15, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,1,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =16, the sequence { d (i) } is: {0,0,1,0,0,1,0,0,0,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =17, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,1,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =18, the sequence { d (i) } is: {0,0,0,1,1,1,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =19, the sequence { d (i) } is: {1,0,0,0,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =20, the sequence { d (i) } is: {0,1,1,1,1,0,1,0,1,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =21, the sequence { d (i) } is: {0,1,1,1,0,1,0,0,1,1,0,1}; and/or the presence of a gas in the gas,
When M =12 and u =22, the sequence { d (i) } is: {0,1,1,1,1,1,0,0,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =23, the sequence { d (i) } is: {0,1,1,1,0,0,0,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =24, the sequence { d (i) } is: {0,0,1,1,1,1,1,1,1,1,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =25, the sequence { d (i) } is: {0,1,1,1,0,0,1,1,0,1,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =26, the sequence { d (i) } is: {0,1,1,1,0,1,1,1,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =27, the sequence { d (i) } is: {0,1,1,1,1,1,1,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =28, the sequence { d (i) } is: {0,1,1,1,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =29, the sequence { d (i) } is: {0,1,1,1,0,1,1,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =0, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =1, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =2, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =3, the sequence { d (i) } is: {0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1}; and/or the presence of a gas in the gas,
When M =18, and u =4, the sequence { d (i) } is: {1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =5, the sequence { d (i) } is: {0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =6, the sequence { d (i) } is: {0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =7, the sequence { d (i) } is: {0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =8, the sequence { d (i) } is: {0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =9, the sequence { d (i) } is: {1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =10, the sequence { d (i) } is: {1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =18 and u =11, the sequence { d (i) } is: {1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =12, the sequence { d (i) } is: {1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =13, the sequence { d (i) } is: {1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =14, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0}; and/or the presence of a gas in the gas,
When M =18, and u =15, the sequence { d (i) } is: {0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =16, the sequence { d (i) } is: {0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =17, the sequence { d (i) } is: {0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =18, the sequence { d (i) } is: {0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =19, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =20, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =21, the sequence { d (i) } is: {1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =22, the sequence { d (i) } is: {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =23, the sequence { d (i) } is: {0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =24, the sequence { d (i) } is: {1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =25, the sequence { d (i) } is: {1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0}; and/or the presence of a gas in the gas,
When M =18, and u =26, the sequence { d (i) } is: {0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =27, the sequence { d (i) } is: {0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =28, the sequence { d (i) } is: {0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =29, the sequence { d (i) } is: {0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =24, and u =0, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =1, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =24 and u =2, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =3, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =4, the sequence { d (i) } is: {1,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =5, the sequence { d (i) } is: {1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
When M =24 and u =6, the sequence { d (i) } is: {0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =7, the sequence { d (i) } is: {1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =8, the sequence { d (i) } is: {0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =9, the sequence { d (i) } is: {0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =10, the sequence { d (i) } is: {1,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =11, the sequence { d (i) } is: {0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0}; and/or the presence of a gas in the atmosphere,
when M =24, and u =12, the sequence { d (i) } is: {1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =13, the sequence { d (i) } is: {1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =14, the sequence { d (i) } is: {1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =15, the sequence { d (i) } is: {1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1}; and/or the presence of a gas in the gas,
When M =24 and u =16, the sequence { d (i) } is: {0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =17, the sequence { d (i) } is: {1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =18, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =19, the sequence { d (i) } is: {1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =20, the sequence { d (i) } is: {0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0}; and/or the presence of a gas in the atmosphere,
when M =24 and u =21, the sequence { d (i) } is: {0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =22, the sequence { d (i) } is: {1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =23, the sequence { d (i) } is: {1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =24, the sequence { d (i) } is: {1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =24 and u =25, the sequence { d (i) } is: {1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
When M =24 and u =26, the sequence { d (i) } is: {0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =24 and u =27, the sequence { d (i) } is: {0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =28, the sequence { d (i) } is: {0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =29, the sequence { d (i) } is: {0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,1}.
In one possible design, the receiving the second signal includes: the second signal is acquired on consecutive M subcarriers, or on equally spaced M subcarriers.
In one possible design, the above-mentioned acquisition sequence { y } u (i) M elements in (j), may include: acquisition sequence g u (i) M elements of the sequence, the second signal is composed of the sequence g u (i) Is mapped onto M subcarriers, g u (i) Is a sequence { g u (i) An element in (j); for sequence { g } u (i) M elements in the } are separatedAnd performing inverse discrete Fourier transform to obtain a sequence (y) u (i) M elements of (j).
In addition, for technical effects of the signal processing method according to the fourth aspect, reference may be made to the technical effects of the signal processing method according to any implementation manner of the third aspect, and details are not repeated here.
In a fifth aspect, a signal processing apparatus is provided. The signal processing apparatus comprises means or modules for performing the method of any one of the first aspect.
In this application, the signal processing apparatus according to the fifth aspect may be a terminal device, or may be provided in a chip (system) or other component or assembly of the terminal device.
In addition, for technical effects of the signal processing apparatus according to the fifth aspect, reference may be made to the technical effects of the signal processing method according to any implementation manner of the first aspect, and details are not repeated here.
In a sixth aspect, a signal processing apparatus is provided. The signal processing apparatus comprises means or modules for performing the method of any of the second aspects.
In this application, the signal processing apparatus according to the sixth aspect may be a network device, or may be provided in a chip (system) or other component or assembly of the network device.
In addition, for technical effects of the signal processing apparatus according to the sixth aspect, reference may be made to the technical effects of the signal processing method according to any implementation manner of the second aspect, and details are not repeated here.
In a seventh aspect, a signal processing apparatus is provided. The signal processing apparatus comprises means or modules for performing the method of any of the third aspects.
In this application, the signal processing apparatus according to the seventh aspect may be a terminal device, or may be provided in a chip (system) or other component or assembly of the terminal device.
In addition, for technical effects of the signal processing apparatus according to the seventh aspect, reference may be made to technical effects of the signal processing method according to any implementation manner of the third aspect, and details are not repeated here.
In an eighth aspect, a signal processing apparatus is provided. The signal processing apparatus comprises means or modules for performing the method of any of the fourth aspects.
In this application, the signal processing apparatus according to the eighth aspect may be a network device, or may be provided in a chip (system) or other component or assembly of the network device.
In addition, for technical effects of the signal processing apparatus according to the eighth aspect, reference may be made to the technical effects of the signal processing method according to any implementation manner of the fourth aspect, and details are not repeated here.
In a ninth aspect, a signal processing apparatus is provided. The signal processing apparatus includes: a processor. The processor is configured to perform the signal processing method according to any one of the possible implementation manners of the first aspect to the fourth aspect.
In a possible design, the signal processing apparatus according to the ninth aspect may further include a memory. The processor is coupled to a memory for storing the computer program.
The processor may be adapted to execute a computer program stored in the memory to cause the signal processing method according to any of the possible implementations of the first to fourth aspects to be performed.
In a possible design, the signal processing apparatus according to the ninth aspect may further include a transceiver. The transceiver may be a transmit-receive circuit or an input/output port. The transceiver may be used for the signal processing apparatus to communicate with other devices.
It should be noted that the input port may be configured to implement the receiving function according to the first aspect to the fourth aspect, and the output port may be configured to implement the transmitting function according to the first aspect to the fourth aspect.
In this application, the signal processing apparatus according to the ninth aspect may be a terminal device, a network device, or a chip system disposed inside the terminal device or the network device.
In addition, for technical effects of the signal processing apparatus according to the ninth aspect, reference may be made to the technical effects of the signal processing method according to any implementation manner of the first aspect to the fourth aspect, and details are not repeated here.
In a tenth aspect, a communication system is provided. The communication system comprises a signal processing apparatus as described in the fifth aspect and a signal processing apparatus as described in the sixth aspect. Alternatively, the communication system comprises a signal processing apparatus according to the seventh aspect and a signal processing apparatus according to the eighth aspect.
Alternatively, the communication system comprises a signal processing apparatus according to the fifth aspect for implementing the method according to the first aspect and a signal processing apparatus according to the sixth aspect for implementing the method according to the second aspect. Alternatively, the communication system comprises a signal processing apparatus according to the seventh aspect for implementing the method according to the third aspect and a signal processing apparatus according to the eighth aspect for implementing the method according to the fourth aspect.
Illustratively, the communication system may include one or more network devices and one or more terminal devices.
In an eleventh aspect, a chip system is provided that includes a logic circuit and an input/output port. Wherein the logic circuit is configured to implement the processing functions according to the first to fourth aspects, and the input/output port is configured to implement the transceiving functions according to the first to fourth aspects. In particular, the input port may be used to implement the receiving function as referred to in the first to fourth aspects, and the output port may be used to implement the transmitting function as referred to in the first to fourth aspects.
In one possible design, the system-on-chip further includes a memory for storing program instructions and data implementing the functions referred to in the first to fourth aspects.
The chip system may be constituted by a chip, or may include a chip and other discrete devices.
In a twelfth aspect, there is provided a computer-readable storage medium comprising: computer programs or instructions; the computer program or the instructions may be adapted to cause the signal processing method according to any one of the possible implementations of the first to fourth aspects to be performed when the computer program or the instructions are run on a computer.
A thirteenth aspect provides a computer program product comprising a computer program or instructions for causing the signal processing method according to any one of the possible implementations of the first to fourth aspects to be performed when the computer program or instructions are run on a computer.
Drawings
Fig. 1a is a schematic architecture diagram of a communication system according to an embodiment of the present application;
fig. 1b is a schematic diagram of a time-frequency resource provided in an embodiment of the present application;
fig. 2 is a schematic diagram of a DMRS signal configured by using a type 1DMRS according to an embodiment of the present application;
fig. 3 is a schematic diagram illustrating increasing the number of comb-shaped frequency-domain resource groups according to an embodiment of the present disclosure;
FIG. 4 is a schematic diagram of a time sampling point provided in an embodiment of the present application;
fig. 5 is a schematic flowchart of a signal processing method according to an embodiment of the present application;
fig. 6 is a schematic flowchart of another signal processing method according to an embodiment of the present application;
FIG. 7a, FIG. 7b and FIG. 7c are sequences y provided in the embodiments of the present application u (i) Obtaining a frequency domain sequence g through DFT u (i) Schematic representation of };
FIG. 8a, FIG. 8b, and FIG. 9 show the sequence { g ] provided in the embodiments of the present application u (i) Mapping to sub-carrier;
fig. 10 is a schematic flowchart of another signal processing method according to an embodiment of the present application;
fig. 11 is a schematic flowchart of another signal processing method according to an embodiment of the present application;
fig. 12 is a first schematic structural diagram of a signal processing apparatus according to an embodiment of the present disclosure;
fig. 13 is a schematic structural diagram of a signal processing apparatus according to an embodiment of the present application.
Detailed Description
The technical solution in the present application will be described below with reference to the accompanying drawings.
The technical solution of the embodiment of the present application may be applied to various communication systems, for example, a wireless fidelity (Wi-Fi) system, a vehicle-to-any object (V2X) communication system, a device-to-device (D2D) communication system, an internet of vehicles communication system, a 4th generation (4 g) mobile communication system, such as a Long Term Evolution (LTE) system, a Worldwide Interoperability for Microwave Access (WiMAX) communication system, a fifth generation (5 g) mobile communication system, such as a new radio, NR (new radio, NR) system, and a future communication system, such as a sixth generation (6 g) mobile communication system.
This application is intended to present various aspects, embodiments or features around a system that may include a number of devices, components, modules, and the like. It is to be understood and appreciated that the various systems may include additional devices, components, modules, etc. and/or may not include all of the devices, components, modules etc. discussed in connection with the figures. Furthermore, a combination of these schemes may also be used.
In addition, in the embodiments of the present application, words such as "exemplarily", "for example", etc. are used for indicating as examples, illustrations or explanations. Any embodiment or design described herein as "exemplary" is not necessarily to be construed as preferred or advantageous over other embodiments or designs. Rather, the term using examples is intended to present concepts in a concrete fashion.
In the embodiment of the present invention, "information", "signal", "message", "channel", "signaling" may be used in combination, and it should be noted that the meaning to be expressed is consistent when the difference is not emphasized. "of", "corresponding", and "corresponding" may sometimes be used in combination, it being noted that the intended meaning is consistent when no distinction is made.
The embodiments of the present applicationIn, sometimes subscripts such as W 1 It may be mistaken for a non-subscripted form such as W1, whose intended meaning is consistent when the distinction is de-emphasized.
The network architecture and the service scenario described in the embodiment of the present application are for more clearly illustrating the technical solution of the embodiment of the present application, and do not form a limitation on the technical solution provided in the embodiment of the present application, and as a person of ordinary skill in the art knows that along with the evolution of the network architecture and the appearance of a new service scenario, the technical solution provided in the embodiment of the present application is also applicable to similar technical problems.
For the convenience of understanding the embodiments of the present application, a communication system applicable to the embodiments of the present application will be first described in detail by taking the communication system shown in fig. 1a as an example. Fig. 1a is a schematic structural diagram of a communication system to which the signal processing method provided in the embodiment of the present application is applied.
As shown in fig. 1a, the communication system includes a network device and a terminal device. The number of the terminal devices may be one or more.
The terminal device is a terminal having access to the communication system and having a wireless transceiving function or a chip system that can be installed in the terminal. The terminal equipment may also be referred to as User Equipment (UE), user equipment, access terminal, subscriber unit, subscriber station, mobile Station (MS), remote station, remote terminal, mobile device, user terminal, terminal unit, terminal station, terminal equipment, wireless communication device, user agent, or user equipment.
For example, the terminal device in the embodiment of the present application may be a mobile phone (mobile phone), a wireless data card, a Personal Digital Assistant (PDA) computer, a laptop computer (laptop computer), a tablet computer (Pad), a computer with a wireless transceiving function, a Machine Type Communication (MTC) terminal, a Virtual Reality (VR) terminal device, an Augmented Reality (AR) terminal device, an internet of things (IoT) terminal device, a wireless terminal in industrial control (industrial control), a wireless terminal in self driving (self driving), a wireless television terminal in remote medical (remote medical), a wireless television terminal in a smart grid (smart grid), a wireless terminal in transportation security (transportation security), a smart terminal in a smart game, a wireless game machine in a city (smart game), a wireless sound box in a refrigerator, a vehicle-mounted device (r.e., a refrigerator, and the like. An access terminal may be a cellular telephone (cellular phone), a cordless telephone, a Session Initiation Protocol (SIP) phone, a Wireless Local Loop (WLL) station, a Personal Digital Assistant (PDA), a handheld device having wireless communication capabilities (handset), a computing device or other processing device connected to a wireless modem, a wearable device, or the like.
For another example, the terminal device in the embodiment of the present application may be an express terminal in smart logistics (for example, a device capable of monitoring the position of a cargo vehicle, a device capable of monitoring the temperature and humidity of cargo, and the like), a wireless terminal in smart agriculture (for example, a wearable device capable of collecting data related to livestock and poultry, and the like), a wireless terminal in smart building (for example, a smart elevator, a fire monitoring device, a smart meter, and the like), a wireless terminal in smart medical treatment (for example, a wearable device capable of monitoring the physiological state of human or animals), a wireless terminal in smart transportation (for example, a smart bus, a smart vehicle, a shared bicycle, a charging pile monitoring device, a smart traffic light, a smart monitoring and smart parking device, and the like), and a wireless terminal in smart retail (for example, a vending machine, a self-service machine, an unmanned convenience store, and the like). For example, the terminal device of the present application may be an in-vehicle module, an in-vehicle component, an in-vehicle chip, or an in-vehicle unit that is built in the vehicle as one or more components or units, and the vehicle may implement the method provided by the present application by the built-in-vehicle module, the built-in component, the built-in chip, or the built-in unit.
The network device is a device located on the network side of the communication system and having a wireless transceiving function or a chip system that can be installed on the device. The network devices include, but are not limited to: an Access Point (AP) in a wireless fidelity (Wi-Fi) system, such as a home gateway, a router, a server, a switch, a bridge, etc., an evolved Node B (eNB), a Radio Network Controller (RNC), a Node B (NB), a Base Station Controller (BSC), a Base Transceiver Station (BTS), a home base station (e.g., home evolved Node B, or Node B, HNB), a Base Band Unit (BBU), a wireless relay Node, a wireless backhaul Node, a transmission point (BTS and retransmission point, TRP or transmission point, etc.), and may also be 5G, such as a gNB, a Transmission Point (TP), or a Transmission Point (TP) in a new air interface (NR) system, or a group of TP, or a Transmission Point (TP), and may also be a base station (BBU) in a wireless fidelity (Wi-Fi) system, and may be configured as a set of one or more base station panels, such as a network panel, a radio network unit (BBU), or a radio network panel (RSU), or a radio network panel (BBU).
It should be noted that the signal processing method provided in this embodiment of the present application may be applied between any two nodes shown in fig. 1a, and for specific implementation, reference may be made to the following method embodiment, which is not described herein again.
It should be noted that the scheme in the embodiment of the present application may also be applied to other communication systems, and the corresponding names may also be replaced with names of corresponding functions in other communication systems.
It should be understood that fig. 1a is a simplified schematic diagram of an example for ease of understanding only, and that other network devices, and/or other terminal devices, not shown in fig. 1a, may also be included in the communication system.
In order to make the embodiments of the present application clearer, a part of contents and concepts related to the embodiments of the present application are uniformly introduced below.
1. Resource block (resource block, RB)
In the radio resource, the smallest resource granularity in the time domain may be an Orthogonal Frequency Division Multiplexing (OFDM) symbol (symbol), which may be referred to as a symbol (symbol) for short; in the frequency domain, the smallest resource granularity may be one subcarrier. One OFDM symbol and one subcarrier constitute one Resource Element (RE).
Fig. 1b is a schematic diagram of a time-frequency resource provided in an embodiment of the present application.
As shown in fig. 1b, the physical layer is based on the RE (shown in fig. 1 b) when performing resource mapping. An RB is a frequency domain basic scheduling unit of data channel allocation, and one RB includes 12 subcarriers in the frequency domain.
2、DMRS
DMRS may be used for uplink and downlink channel estimation. For example, DMRS may be used to perform channel estimation on a Physical Downlink Shared Channel (PDSCH) or a Physical Uplink Shared Channel (PUSCH) so as to coherently demodulate uplink and downlink data. The PDSCH and the PUSCH are respectively used for carrying data transmitted in downlink and uplink, and the DMRS is transmitted along with the PDSCH or the PUSCH. The DMRS is typically located in the first few symbols of the slot occupied by the PDSCH or PUSCH.
A sequence used by a discrete fourier transform spread orthogonal frequency division multiple access (DFT-s-OFDM) waveform of the spread spectrum may cause a peak-to-average power ratio (PAPR) of a DMRS signal to be higher, and affect channel estimation.
The signal processing method provided by the embodiment of the application provides a new sequence y u (i) Based on satisfaction
Sequence of (a) { y } u (i) Generates a first signal that can satisfy a lower PAPR value, so that the accuracy of channel estimation can be improved.
In addition, the DFT-s-OFDM waveform may support type1 (type 1) DMRS configuration, and may support 4 orthogonal DMRS multiplexes at maximum.
Fig. 2 is a schematic diagram of a DMRS signal configured by using a type 1DMRS according to an embodiment of the present application.
As shown in (a) of fig. 2, when the DMRS configuration employs a type 1DMRS configuration and the DMRS configures one symbol, a system may support up to 2 DMRS orthogonal multiplexes. REs of two patterns in (a) of fig. 2 represent REs occupied by the DMRS for port 0 and the DMRS for port 2, respectively. The DMRS of port 0 and the DMRS of port 2 remain orthogonal by occupying different frequency domain resources. Illustratively, the DMRS for port 0 occupies even subcarriers (e.g., the subcarriers numbered 0,2,4 …) and the DMRS for port 2 occupies odd subcarriers (e.g., the subcarriers numbered 1,3,5 …). The frequency domain resources include two comb frequency domain resource groups (even subcarriers constitute a group of comb frequency domain resources, odd subcarriers constitute a group of comb frequency domain resources), which may also be referred to as 2 comb teeth (comb).
The DMRS among the different comb-shaped frequency domain resource groups are ensured to be orthogonal by adopting a frequency division mode among the different comb-shaped frequency domain resource groups.
As shown in (b) of fig. 2, when the DMRS configuration employs a type 1DMRS configuration and the DMRS configures two symbols, the system may support up to 4 DMRS orthogonal multiplexes. REs of the two patterns in (b) of fig. 2 represent REs occupied by DMRSs of port 0 and port 4 and DMRSs of port 2 and port 6, respectively. The DMRS for port {0,4} and port {2,6} remain orthogonal by occupying different frequency domain resources, e.g., port {0,4} occupies even subcarriers (e.g., the subcarrier numbered 0,2,4 …), and port {2,6} occupies odd subcarriers (e.g., the subcarrier numbered 1,3,5 …). The DMRS of port 0 and the DMRS of port 4 are kept orthogonal to each other by a time-domain orthogonal code (code length 2), and the DMRS of port 2 and the DMRS of port 6 are also kept orthogonal to each other by a time-domain orthogonal code (code length 2).
During data communication, the transmission of each data stream corresponds to one DMRS. As communication capacity increases, the number of data streams increases. If the number of data streams is greater than 4, more than 4 orthogonal DMRSs need to be supported. Illustratively, orthogonal DMRS multiplexes larger than 4 may be obtained by increasing the number of comb-like frequency-domain resource groups.
Fig. 3 is a schematic diagram illustrating increasing the number of comb-shaped frequency-domain resource groups according to an embodiment of the present application.
Fig. 3 (a) illustrates that one symbol in the time domain and one RB in the frequency domain are configured for DMRS. Fig. 3 (b) illustrates that two symbols in the time domain and one RB in the frequency domain are configured for the DMRS. As shown in fig. 3 (a), compared to fig. 2 (a), the number of comb-shaped frequency-domain resource groups is increased to 4, and 4 orthogonal DMRS multiplexes can be supported in a frequency division manner. As shown in (b) of fig. 3, the number of comb-shaped frequency-domain resource groups is increased to 4 compared to (b) of fig. 2, and 8 orthogonal DMRS multiplexes can be supported using frequency-division and time-domain orthogonal codes.
It should be noted that, in this embodiment of the present application, one RB is taken as an example, and in practical application, the number of RBs occupied by the DMRS may be configured by a system.
Although the method shown in fig. 3 can increase the number of orthogonal DMRSs, the corresponding DMRS sequence length becomes short, and when a DMRS occupies 1 RB, the DMRS sequence length is changed from 6 (as shown in fig. 2) to 3. The number of candidate sequences is larger if the length of the sequence is longer (i.e., the sequence includes more elements), and the number of candidate sequences is smaller if the length of the sequence is shorter (i.e., the sequence includes less elements), for example, the number of sequences composed of 6 elements is larger than the number of sequences composed of 3 elements; when a U-group sequence (U.gtoreq.1, for example, U = 30) is obtained and the U-group sequence satisfies requirements such as low PAPR and low correlation, it is easier to obtain a sequence satisfying the requirements from a large number of candidate sequences, and it is difficult to obtain a sequence satisfying the requirements from a small number of candidate sequences. For example, a sequence of length 6 is more likely to obtain 30 sets than a sequence of length 3, and satisfies requirements such as low PAPR and low correlation. For a sequence of length 3, although sequences satisfying requirements such as low PAPR and low correlation can be obtained from candidate sequences including 3 elements, it is difficult to obtain 30 sets of sequences satisfying the above requirements at the same time.
That is, although the scheme of increasing the number of comb-shaped frequency-domain resource groups can obtain more orthogonal DMRS signals, it cannot obtain sequences that satisfy the number requirement (e.g., 30 sets of sequences) and satisfy performance requirements such as low PAPR and low correlation.
The signal processing method provided by the embodiment of the application provides a new sequence y u (i) }, sequence { y u (i) The autocorrelation value of the sequence is small, the generated signal can satisfy the low PAPR, and the sequence y is small u (i) The length of the sequence is not shortened, so that the problem that a proper DMRS sequence cannot be obtained due to the shortened sequence can be solved. The suitable DMRS sequence may be a sequence that meets the number requirement and meets performance requirements such as low PAPR and low correlation. The method can be applied to a scene that Multiple Users (MU) are paired and users are increased and a scene that the number of transmission streams of a Single User (SU) is more than 1 stream.
The signal processing method provided by the embodiment of the present application will be specifically described below with reference to fig. 5 to 11.
Exemplarily, fig. 5 is a schematic flowchart of a signal processing method according to an embodiment of the present application. The signal processing method may be applied to the communication between the network device and the terminal device shown in fig. 1 a. Fig. 5 is illustrated by way of example as including a sequence of 6 elements.
As shown in fig. 5, the signal processing method includes the steps of:
s501, the terminal equipment determines a sequence y comprising 6 elements u (i)}。
In the method shown in FIG. 5, the sequence y u (i) It may comprise M elements, M being equal to 6.
Illustratively, the sequence y u (i) Satisfy the formula (5-1), y u (i) Is ω (i) obtained by 8PSK modulation.
In equation (5-1), u is the first flag, the first flag and the sequence { y } u (i) And f, corresponding to each other.
Alternatively, y u (i) Is a sequence y u (i) Element in (i) }, element y u (i) Is related to the sequence y u (i) The number of elements in the.
Alternatively, u may be any natural number, as used hereinThe value of u is not limited, and the sequence y can be realized u (i) It is sufficient to do the identification. For example, u may take on an integer greater than or equal to 0 and less than or equal to 29, i.e., u ∈ {0,1.., 29}, or u ∈ {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29}. It will be appreciated that u may be applied only to the sequence y u (i) It plays the role of identification, if u has 30 values, it means that the terminal device determines the sequence y comprising 6 elements u (i) It may be one of 30 sequences.
In one possible embodiment, the first identifier u is a group identifier. u takes a value of 0, and the sequence group with the description group identifier of 0 includes the sequence { y 0 (i) Value of u is 1, and the sequence group with the description group mark of 1 comprises a sequence { y 1 (i) And the other values of u are analogized in turn.
The application adopts a first identification u to a sequence { y u (i) Are identified, a sequence y of different first identifications u may be associated u (i) And allocating the allocation to different cells for use. Suppose u ∈ {0,1.., 29}, with 30 sets of sequences { y } u (i) For example, in one scheduling, u may be equal to 0 associated sequence y u (i) Assigned to cell 1 for use, the sequence y associated with u equal to 1 u (i) Assigned to cell 2 for use, u is equal to the associated sequence y of 2 to 29 u (i) Are respectively allocated to the cells 3 to 30 for use.
In the above formula (5-1), D is a non-zero complex number, e is a natural constant,
in the above formula (5-1), the element ω (i) is an element in the sequence { ω (i) }, and the sequence { ω (i) } is composed of the element ω (i).
For example, when u=0, the sequence{ ω (i) } is one of the following sequences{5,-7,-3,5,-7,-7}，{-1,1,-7,-1,-1,-7}，{1,3,-7,1,-1,-7}，{-1,1,7,1,-1,-7}，{1,3,-7,3,1,-7}，{-5,5,-5,-5,3,-7}，{1,3,-7,3,3,-7}，{3,-7,-5,3,3,-7}，{3,5,-5,7,3,-7}，{-5,5,-7,-5,5,-7}，{1,5,-7,5,5,-7}，{3,7,-5,5,5,-7}，{5,-7,-5,5,-7,-5}，{-1,3,7,3,-1,-5}，{-1,1,-5,-1,1,-5}，{1,3,-5,3,1,-5}，{5,-5,-3,5,5,-5}，{5,7,-3,5,5,-5}，{5,-7,-3,-7,7,-5}，{5,-7,-1,-5,7,-5}，{7,-5,-1,-5,7,-5}，{-3,7,-5,-3,7,-5}，{5,-7,-5,5,7,-5} That is, when u =0, the sequence { ω (i) } may be one of the one or more sequences described above.
Take the example that the sequence { ω (i) } is { -1,1, -7, -1, -1, -7} when u = 0. Assuming that i takes on a value of 0, 1, 2, 3, 4, or 5, the element ω (0) may be-1, the element ω (1) may be 1, the element ω (2) may be-7, the element ω (3) may be-1, the element ω (4) may be-1, and the element ω (5) may be-7.
When u =1, the sequence { ω (i) } is one of the following sequences: {5,-7,3,-1,3,-7}，{-1,-7,1,1,3,-7}，{1,-7,3,1,3,-7}，{3,-7,3,1,3,-7}，{-1,-7,1,3,3,-7}，{-3,-7,5,-1,5,-7}，{5,-7,3,1,5,-7}，{-3,-7,5,1,5,-7}，{-1,-7,5,1,5,-7}，{3,-7,5,1,5,-7}，{5,-7,5,1,5,-7}，{-1,-5,-7,5,-7,-5}，{5,-5,5,3,5,-5}，{1,-5,7,3,7,-5}，{5,-5,7,3,7,-5}; and/or the presence of a gas in the gas,
when u =2, the sequence { ω (i) } is one of the following sequences: {-3,-7,5,-7,-3,-7}，{-7,-3,5,-7,-3,-7}，{-1,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,-1,-7,-5,-1,-7}，{-3,-7,5,-5,-1,-7}，{-3,-5,7,-5,-1,-7}，{-3,-3,7,-5,-1,-7}，{-1,-5,7,-3,-1,-7}，{-3,-3,-7,-3,1,-7}，{-1,-1,-7,-1,1,-7}，{1,-1,-7,-1,1,-7}，{3,1,-7,-1,1,-7}，{3,1,-7,1,3,-7}，{3,3,-7,1,3,-7}，{3,1,-5,1,3,-7}，{5,1,-3,1,5,-7}，{3,5,-7,3,5,-7}，{1,-7,-7,-1,-7,-5}，{-1,-7,-5,-1,-7,-5}，{1,1,-7,-1,1,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}; and/or the presence of a gas in the gas,
When u =3, the sequence { ω (i) } is one of the following sequences:{1,5,-7,5,-7,-7}，{1,7,-7,1,-5,-7}，{1,-7,-5,5,-5,-7}，{3,-5,-3,5,-5,-7}，{3,7,-5,7,-5,-7}，{5,-7,-3,7,-5,-7}，{3,7,-3,7,-5,-7}，{5,-5,-1,7,-5,-7}，{5,-7,-3,-7,-3,-7}，{5,-5,-1,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{5,-7,-3,3,-3,-7}，{3,7,-5,7,-3,-7}，{5,-7,-3,7,-3,-7}，{5,-5,-3,7,-3,-7}，{5,-5,-3,-7,-1,-7}，{7,-5,-1,-7,-1,-7}，{5,7,-5,-5,-1,-7}，{5,-7,-3,-5,-1,-7}，{5,-5,-1,-5,-1,-7}，{7,-5,-1,-5,-1,-7}，{-7,-3,1,-3,1,-7}，{7,-3,1,-7,-3,-5}，{3,-7,-5,5,-3,-5}，{5,-3,-1,5,-3,-5}，{7,-3,1,-3,1,-5}，{7,-5,-1,5,1,-5}，{3,-7,-5,5,-5,7}; and/or the presence of a gas in the gas,
when u =4, the sequence { ω (i) } is the following sequence: {5, -7,1,1,3, -5}; and/or the presence of a gas in the gas,
When u＝5, the sequence {ω(i)} is one of the following sequences:{-5,3,-1,5,-7,-7}，{-3,3,-1,7,-7,-7}，{-3,5,1,-7,-5,-7}，{-3,3,1,5,-5,-7}，{-3,5,1,7,-5,-7}，{-3,5,3,7,-5,-7}，{-1,3,3,5,-3,-7}，{1,3,3,7,-3,-7}，{-3,5,3,7,-3,-7}，{-1,5,3,7,-3,-7}，{-1,5,5,7,-3,-7}，{-5,5,1,3,-1,-7}，{-5,3,1,5,-1,-7}，{-5,5,1,5,-1,-7}，{-5,7,1,5,-1,-7}，{-3,7,3,5,-1,-7}，{5,-5,-1,-1,1,-7}，{-5,-5,-1,5,1,-7}，{5,-3,-1,-1,3,-7}，{7,-5,1,-1,3,-7}，{-3,-7,1,5,3,-7}，{-3,-5,1,5,3,-7}，{-3,-3,-1,7,3,-7}，{-5,-7,1,7,3,-7}，{-5,-5,1,7,3,-7}，{-3,-5,1,7,3,-7}，{-3,-7,3,7,3,-7}，{-3,-5,3,7,3,-7}，{-3,-5,3,-7,5,-7}，{-1,-5,5,-7,5,-7}，{7,-3,1,-1,5,-7}，{-7,-5,3,-1,5,-7}，{-1,-5,3,5,5,-7}，{-3,-7,3,7,5,-7}，{-3,-5,3,7,5,-7}，{-1,-5,3,7,5,-7}，{-1,-5,5,-5,7,-7}，{1,-5,7,-5,7,-7}，{-7,-3,3,-1,7,-7}，{1,-3,3,7,7,-7}，{3,-1,7,-5,-7,-5}，{1,5,3,-7,-3,-5}，{-1,5,3,7,-1,-5}，{1,-1,3,-7,7,-5}，{-1,-7,5,-7,7,-5}，{1,-1,7,1,-7,-1}，{5,1,-5,-1,-5,-1}，{5,-5,-1,-3,3,7}，{-1,-7,5,-7,5,7}; and/or,
When u＝6, the sequence {ω(i)} is one of the following sequences:{5,1,5,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{-3,1,5,1,-3,-7}，{-5,-1,7,3,-3,-7}，{-3,1,7,3,-3,-7}，{-1,1,-7,-7,-1,-7}，{1,7,7,-1,-1,-7}，{-5,-1,-7,5,-1,-7}，{-3,-1,-7,5,-1,-7}，{-5,1,7,5,-1,-7}，{-5,1,-7,3,1,-7}，{-5,-1,-7,7,1,-7}，{-5,1,-7,7,1,-7}，{-5,3,-5,-7,3,-7}，{-3,1,-3,-7,5,-7}，{5,1,-3,1,5,-7}，{-3,-7,5,1,5,-7}，{1,5,-7,5,-1,-5}，{3,7,-7,5,-1,-5}，{5,7,-5,5,-1,-5}，{1,-7,-5,1,1,-5}; and/or,
When u＝7, the sequence {ω(i)} is one of the following sequences:{5,-7,1,-1,3,-7}，{5,-7,3,-1,3,-7}，{5,-5,1,1,3,-7}，{5,-5,3,1,3,-7}，{5,-7,1,-1,5,-7}，{5,-5,1,-1,5,-7}，{-3,7,3,-1,5,-7}，{5,-7,1,1,5,-7}，{5,7,1,1,5,-7}，{-1,-7,3,1,5,-7}，{3,-7,3,1,5,-7}，{5,-7,3,1,5,-7}，{5,-5,3,1,5,-7}，{7,-5,3,1,5,-7}，{3,7,3,1,5,-7}，{3,-7,5,1,5,-7}，{1,-5,3,3,5,-7}，{5,-5,1,1,7,-7}，{1,-7,3,1,7,-7}，{3,-7,3,1,7,-7}，{3,-5,3,1,7,-7}，{5,-5,3,1,7,-7}，{5,-3,3,1,7,-7}，{3,-7,5,1,7,-7}，{5,-5,5,1,7,-7}，{5,-1,5,3,-7,-5}，{7,-3,5,3,5,-5}，{1,-5,5,3,7,-5}，{5,-5,5,3,7,-5}，{7,-3,5,3,7,-5}，{5,-5,7,3,7,-5}，{7,1,7,5,-5,-3}，{-1,5,-5,-7,-1,3}，{3,5,-1,-1,3,7}，{3,-7,-1,-1,5,7}，{3,-7,3,-1,5,7}; and/or,
When u＝8, the sequence {ω(i)} is one of the following sequences:{3,1,5,-1,-1,-7}，{3,1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{-1,-1,5,-1,1,-7}，{1,-1,5,-1,1,-7}，{3,1,7,-1,1,-7}，{1,-1,-7,1,3,-7}，{1,-1,7,1,3,-7}，{5,1,7,1,3,-7}，{5,1,-5,1,5,-7}，{5,1,-3,1,5,-7}，{1,1,5,1,5,-7}，{3,1,5,1,5,-7}，{3,3,7,1,5,-7}，{-5,-5,-1,-5,-1,3}，{-1,-5,5,-5,-1,3}; and/or,
When u＝9, the sequence {ω(i)} is one of the following sequences:{-7,3,-5,1,1,-7}，{-5,5,-5,3,1,-7}，{-5,5,-3,3,1,-7}，{-5,7,-3,3,1,-7}，{-5,5,-1,3,1,-7}，{-5,7,-5,5,1,-7}，{-3,-7,-3,5,1,-7}，{-5,5,-5,3,3,-7}，{-5,3,-5,5,3,-7}，{-5,5,-5,5,3,-7}，{-5,5,-3,5,3,-7}，{-5,7,-3,5,3,-7}，{-5,5,-1,5,3,-7}，{-5,7,-1,5,3,-7}，{-5,7,-3,7,3,-7}，{-3,-7,-5,5,5,-7}，{-5,7,-5,5,5,-7}，{-3,-5,-1,7,5,-7}，{-3,-7,-3,7,7,-7}，{-3,-7,-3,-7,3,-5}，{-3,7,-3,7,5,-5}，{-3,7,1,7,5,-5}，{-1,-7,1,7,7,-1}，{5,-1,5,-3,-5,3}; and/or,
When u＝10, the sequence {ω(i)} is one of the following sequences:{1,-5,1,7,-7,-7}，{3,-7,3,-7,-5,-7}，{3,7,3,7,-5,-7}，{3,7,3,-7,-3,-7}，{5,-7,5,-7,-3,-7}，{5,-5,5,-7,-3,-7}，{5,-1,5,-7,-3,-7}，{5,1,5,-7,-3,-7}，{5,1,5,-7,-1,-7}，{1,-5,1,7,7,-7}，{5,-5,5,-5,-3,-5}，{5,-3,5,-5,-3,-5}，{-7,5,-7,-5,-1,-5}，{3,-7,3,7,-5,7}，{-1,-7,-1,5,5,7}; and/or,
When u＝11, the sequence {ω(i)} is one of the following sequences:{1,5,-3,-7,5,-7}，{3,5,-1,-7,5,-7}，{-1,5,-5,7,5,-7}，{1,5,-5,7,5,-7}，{5,7,1,-5,7,-5}，{5,-5,1,-3,-5,-1}，{-5,-1,5,1,-1,3}; and/or,
When u＝12, the sequence {ω(i)} is one of the following sequences:{5,-1,3,-1,1,-7}，{7,-1,3,-1,1,-7}，{5,-1,3,-1,3,-7}，{7,-1,3,-1,3,-7}，{5,1,5,-1,3,-7}，{7,1,5,-1,3,-7}，{7,1,-7,1,3,-7}，{7,-3,5,1,3,-7}，{-7,-1,5,1,3,-7}，{5,-1,5,1,3,-7}，{7,-1,5,1,3,-7}，{7,-3,7,1,3,-7}，{-7,-1,7,1,3,-7}，{7,-1,7,1,3,-7}，{-7,1,7,1,3,-7}，{7,1,7,1,3,-7}，{7,-1,3,1,5,-7}，{-7,1,5,1,5,-7}，{7,1,5,1,5,-7}，{-7,3,5,1,5,-7}，{-7,3,7,1,5,-7}，{7,3,7,1,5,-7}，{-7,3,7,3,5,-7}，{-7,3,7,3,7,-7}，{5,1,5,1,3,-5}，{-5,1,7,3,5,-5}，{7,1,7,3,5,-5}，{-5,5,7,3,7,-5}，{5,-1,3,-1,3,7}; and/or,
When u＝13, the sequence {ω(i)} is one of the following sequences:{-3,7,-5,-7,3,-7}，{-5,7,-3,-7,3,-7}，{-3,-7,-3,-5,3,-7}，{-3,-7,-1,-3,3,-7}，{-3,-7,-3,-7,5,-7}，{-3,7,-3,-7,5,-7}，{-1,-5,-1,-7,5,-7}，{-3,-7,-3,-5,5,-7}，{-1,-7,-3,-5,5,-7}，{-3,-7,-1,-5,5,-7}，{-3,-5,-1,-5,5,-7}，{-3,-7,-3,-3,5,-7}，{-3,-7,-3,7,5,-7}，{-1,-7,-1,-1,7,-7}，{5,1,5,-1,-5,-1}，{-5,5,-5,7,3,7}; and/or,
When u＝14, the sequence {ω(i)} is one of the following sequences:{-1,5,1,3,-7,-7}，{1,5,1,5,-7,-7}，{3,5,1,5,-7,-7}，{3,7,1,5,-7,-7}，{3,7,3,5,-7,-7}，{1,7,1,7,-7,-7}，{3,7,3,7,-7,-7}，{3,7,1,5,-5,-7}，{3,-7,3,5,-5,-7}，{1,7,3,5,-5,-7}，{3,7,1,7,-5,-7}，{3,-7,3,7,-5,-7}，{5,-7,3,7,-5,-7}，{3,7,3,7,-5,-7}，{5,-7,5,-7,-3,-7}，{5,-5,5,-7,-3,-7}，{5,-1,5,-7,-3,-7}，{3,7,3,5,-3,-7}，{3,-7,5,7,-3,-7}，{5,-5,5,7,-3,-7}，{7,-1,7,-7,-1,-7}，{7,1,7,-7,-1,-7}，{7,-5,7,-5,-1,-7}，{-7,-1,-7,-5,1,-7}，{5,-5,5,-7,-3,-5}，{5,-5,5,-5,-3,-5}，{5,-5,5,7,-3,-5}，{3,-7,3,5,-5,7}，{3,-7,3,7,-5,7}; and/or,
When u＝15, the sequence {ω(i)} is one of the following sequences:{-3,7,-5,1,-5,-7}，{-3,-7,-3,1,-5,-7}，{-1,-5,-3,3,-3,-7}，{-5,-5,-1,5,1,-7}，{-1,-7,-7,3,-3,-5}，{-1,-3,1,5,3,-5}; and/or,
When u＝16, the sequence {ω(i)} is one of the following sequences:{-3,3,1,5,-5,-7}，{1,5,1,-7,-3,-7}，{3,5,-1,-5,-3,-7}，{3,5,1,-5,-3,-7}，{3,7,1,-5,-3,-7}，{-5,5,-1,3,-3,-7}，{-5,5,1,3,-3,-7}，{-3,5,1,5,-3,-7}，{3,5,1,-5,-1,-7}，{5,7,1,-5,-1,-7}，{-5,5,1,3,-1,-7}，{5,7,-5,5,-1,-7}，{-5,7,1,5,-1,-7}，{-3,7,3,5,-1,-7}，{5,-7,1,-3,1,-7}，{-3,-7,1,5,1,-7}，{7,-5,1,-1,3,-7}，{3,5,-1,5,3,-7}，{-3,-5,1,5,3,-7}，{1,-3,1,-7,5,-7}，{3,-3,-1,-5,5,-7}，{3,-1,1,-5,5,-7}，{5,-3,1,-3,5,-7}，{7,-3,1,-1,5,-7}，{5,3,-1,3,5,-7}，{3,-1,1,-5,7,-7}，{5,-1,1,-5,7,-7}，{3,-1,1,-3,7,-7}，{5,-1,1,-3,7,-7}，{1,5,3,-7,-3,-5}，{-3,-7,3,5,-1,-5}，{5,-7,3,-1,1,-5}，{7,-7,3,-1,1,-5}，{7,-7,5,-1,1,-5}，{-3,-7,3,5,1,-5}，{-1,-7,3,5,1,-5}，{-1,1,-3,7,1,-5}，{5,7,1,7,5,-5}，{1,-1,3,-7,7,-5}，{7,5,1,5,7,-5}，{-5,5,-7,3,-1,1}，{-3,7,-5,5,-1,1}，{-7,3,-1,1,-5,7}，{5,-5,-1,-3,3,7}; and/or,
When u＝17, the sequence {ω(i)} is one of the following sequences:{-3,5,-7,-3,-7,-7}，{-1,7,-7,-1,-7,-7}，{-3,7,-5,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{-1,-7,-5,1,-7,-7}，{5,-7,-3,5,-7,-7}，{1,3,-5,1,-5,-7}，{-7,-3,5,-7,-3,-7}，{-3,1,-7,-3,-3,-7}，{-3,1,-5,-1,-3,-7}，{-7,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,-1,-7,-5,-1,-7}，{-5,-1,-7,-3,-1,-7}，{-3,-1,-7,-3,-1,-7}，{-1,1,-7,-1,-1,-7}，{-3,1,-5,-1,-1,-7}，{-1,-1,5,-1,-1,-7}，{-1,1,-7,1,-1,-7}，{1,3,-7,1,-1,-7}，{1,3,-5,1,-1,-7}，{-1,1,7,1,-1,-7}，{1,3,7,1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-3,-3,-7,-3,1,-7}，{-3,1,-3,-3,1,-7}，{-3,3,-1,-3,1,-7}，{-1,-1,-7,-1,1,-7}，{1,1,-7,1,1,-7}，{-1,1,-5,1,1,-7}，{-1,1,-7,3,1,-7}，{1,3,-7,3,1,-7}，{-5,3,-7,-7,3,-7}，{-7,3,-7,-5,3,-7}，{-1,3,1,-1,3,-7}，{3,3,-7,1,3,-7}，{1,3,-7,3,3,-7}，{3,3,-3,3,3,-7}，{-1,3,-7,5,3,-7}，{1,3,-5,5,3,-7}，{-1,3,-7,7,3,-7}，{-3,5,-7,-7,5,-7}，{-5,5,-7,-5,5,-7}，{-5,5,7,-5,5,-7}，{-3,-7,-7,-3,5,-7}，{-7,5,-7,-3,5,-7}，{5,5,-7,1,5,-7}，{1,5,5,1,5,-7}，{3,5,-7,3,5,-7}，{1,5,-7,5,5,-7}，{-1,-7,-7,-1,7,-7}，{1,7,7,1,7,-7}，{-1,-7,-5,-1,-7,-5}，{-1,-7,-3,-1,-7,-5}，{5,-7,-5,5,-7,-5}，{5,7,-5,5,-7,-5}，{5,-5,-5,1,-5,-5}，{1,-5,-3,3,-5,-5}，{1,-5,-5,5,-5,-5}，{5,-5,-3,5,-5,-5}，{1,5,-5,1,-3,-5}，{1,5,-5,1,-1,-5}，{-5,5,-5,-5,1,-5}，{-5,1,-5,-5,5,-5}，{-5,5,-5,-3,5,-5}，{-3,7,-5,-3,7,-5}，{5,-7,-5,5,7,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}，{5,5,-5,5,5,-1}，{3,-7,5,3,7,-1}，{7,-5,3,7,5,1}，{5,-5,5,5,-5,3}，{-5,-1,-1,-5,-1,3}，{5,-1,5,5,-5,5}，{5,-5,5,5,-1,5}，{-1,5,5,-5,5,5}，{-5,5,5,-1,5,5}，{-1,5,5,-1,5,7}; and/or,
When u＝18, the sequence {ω(i)} is one of the following sequences:{-3,7,-5,-1,-3,-7}，{-1,-7,-3,1,-3,-7}，{-3,-7,-5,-1,-1,-7}，{-5,7,-5,-1,-1,-7}，{-1,-7,-5,1,-1,-7}，{1,-7,-5,1,-1,-7}，{-3,-7,-3,1,-1,-7}，{-1,-7,-3,1,-1,-7}，{-5,5,-3,1,-1,-7}，{-3,7,-3,1,-1,-7}，{-1,-7,-1,1,-1,-7}，{1,-7,-1,1,-1,-7}，{-3,-7,-3,3,-1,-7}，{-1,-5,-3,3,-1,-7}，{-1,-7,-5,1,1,-7}，{-3,-7,-3,1,1,-7}，{-1,-7,-1,1,1,-7}，{-1,-7,-5,3,1,-7}，{-1,-5,-3,3,1,-7}，{1,-5,-3,3,1,-7}，{-1,-5,-1,3,1,-7}，{-1,-5,-1,1,1,-5}，{1,-5,-3,3,1,-5}，{1,-5,1,3,1,-5}，{-5,5,-7,-3,-5,7}，{-1,-7,-5,1,-1,7}; and/or,
When u＝19, the sequence {ω(i)} is one of the following sequences:{-1,7,-7,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{1,-7,-5,1,-5,-7}，{-7,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,1,-5,-5,-1,-7}，{-3,-1,-7,-3,-1,-7}，{-1,1,-7,-1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-5,3,-3,-5,1,-7}，{-1,-1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{1,1,-7,1,1,-7}，{1,3,-7,3,1,-7}，{-5,3,-7,-7,3,-7}，{-7,3,-7,-5,3,-7}，{-5,3,-3,-5,3,-7}，{3,1,-7,1,3,-7}，{3,3,-7,1,3,-7}，{1,3,-7,3,3,-7}，{3,3,-3,3,3,-7}，{-5,5,-7,-5,5,-7}，{3,7,1,1,5,-7}，{3,7,3,1,5,-7}，{3,7,5,1,5,-7}，{3,7,7,1,5,-7}，{3,5,-7,3,5,-7}，{5,5,-1,3,5,-7}，{-1,-7,-7,-1,7,-7}，{-1,7,5,-1,7,-7}，{3,-7,5,1,7,-7}，{-1,-7,7,1,7,-7}，{1,-7,7,1,7,-7}，{1,7,7,1,7,-7}，{5,-7,3,3,7,-7}，{-1,-7,-5,-1,-7,-5}，{1,-5,-7,1,-7,-5}，{5,-7,-5,5,-7,-5}，{5,-5,-3,5,-5,-5}，{-7,1,-7,-5,1,-5}，{-5,5,-5,-3,5,-5}，{-3,7,-5,-3,7,-5}，{-1,7,3,-1,7,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}，{-5,-5,5,-7,-5,-1}，{5,-5,5,3,-5,3}，{5,-5,5,5,-5,3}，{-1,5,5,-1,5,7}；
When u＝20, the sequence {ω(i)} is one of the following sequences:{7,-3,3,-3,-1,-7}，{7,-3,5,-3,-1,-7}，{-7,-3,5,-1,1,-7}，{7,-3,5,-1,1,-7}，{-7,-1,5,1,3,-7}，{-7,-1,-7,1,3,-5}，{-7,-1,-7,3,5,-5}，{-5,1,7,3,5,-5}，{-5,1,-5,3,5,-3}，{-5,1,-5,5,7,-3}，{5,-5,3,-3,-1,7}; and/or,
When u＝21, the sequence {ω(i)} is one of the following sequences:{5,1,5,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{-3,1,5,1,-3,-7}，{-7,-1,1,-7,-1,-7}，{-1,-1,7,-7,-1,-7}，{3,-1,-7,-3,-1,-7}，{3,1,7,-3,-1,-7}，{-7,1,1,7,-1,-7}，{3,1,-7,-1,1,-7}，{7,1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{3,1,-7,1,3,-7}，{-3,-7,5,1,5,-7}，{5,1,5,-7,-1,-5}，{5,1,7,-5,-1,-5}，{5,1,-7,-3,-1,-5}，{5,-1,3,5,-1,-5}，{5,1,3,7,-1,-5}，{5,1,-5,-3,1,-5}，{-1,3,-1,-5,7,-5}，{-7,5,1,5,-7,-3}，{-1,-5,5,7,-5,5}; and/or,
When u＝22, the sequence {ω(i)} is one of the following sequences:{3,5,-5,-7,-1,-7}，{-1,3,7,5,-1,-7}，{1,5,7,7,-1,-7}，{3,5,-5,-7,1,-7}，{5,7,-3,-5,1,-7}，{1,3,-7,7,1,-7}，{3,5,-5,-7,3,-7}，{3,7,-5,-7,3,-7}，{5,7,-3,-7,3,-7}，{5,-7,-3,-5,3,-7}，{5,-5,-3,-5,3,-7}，{5,7,-3,-5,3,-7}，{5,-5,-3,-3,3,-7}，{5,7,-3,-3,3,-7}，{3,5,-5,7,3,-7}，{3,7,-5,7,3,-7}，{3,7,-5,-7,5,-7}，{5,-7,-3,-5,5,-7}，{5,-5,-1,-5,5,-7}，{5,-7,-3,-3,5,-7}，{5,-7,-1,-3,5,-7}，{5,-5,-1,-3,5,-7}，{7,-5,-1,-3,5,-7}，{5,-7,-3,-3,7,-7}，{5,7,-3,-5,1,-5}，{-1,3,-7,5,1,-5}，{5,7,-3,-7,5,-5}，{5,7,-3,-5,5,-5}，{7,-5,1,-1,5,-5}，{7,-3,1,-3,7,-5}，{7,-3,1,-1,7,-5}，{3,5,-5,-7,-1,7}; and/or,
When u＝23, the sequence {ω(i)} is one of the following sequences:{3,3,1,-5,-1,-7}，{1,3,3,-5,-1,-7}，{5,1,7,-5,5,-7}，{7,5,-7,-3,5,-7}，{5,7,3,-3,1,-5}，{5,3,-7,-5,5,-5}，{5,5,-7,-5,7,-5}，{7,5,-7,-3,7,-5}，{7,5,-5,-1,-7,-3}; and/or,
When u＝24, the sequence {ω(i)} is one of the following sequences:{7,1,7,-7,-1,-7}，{7,1,7,-7,1,-7}，{7,-1,5,7,1,-7}，{-7,1,5,-7,5,-7}，{7,1,5,-7,5,-7}，{-7,3,7,-5,5,-7}，{5,-1,3,7,5,-7}，{-5,3,-7,-5,5,-5}，{7,1,5,-7,7,-5}，{-3,7,-3,-1,7,-1}，{5,-1,3,7,3,7}; and/or,
When u＝25, the sequence {ω(i)} is one of the following sequences:{-5,1,-3,3,-7,-7}，{-3,1,7,1,-5,-7}，{-5,1,-3,3,-5,-7}，{-3,1,-1,3,-5,-7}，{-3,3,-1,3,-5,-7}，{-3,3,-1,5,-5,-7}，{-1,3,1,5,-5,-7}，{-3,1,-3,1,-3,-7}，{-1,3,-3,1,-3,-7}，{-1,1,-3,3,-3,-7}，{-3,1,-1,3,-3,-7}，{-3,3,-1,3,-3,-7}，{-1,3,-1,3,-3,-7}，{-1,3,1,5,-3,-7}，{-1,3,3,5,-3,-7}，{-3,1,-3,3,-1,-7}，{-7,-3,3,-1,7,-7}，{1,5,3,-7,-3,-5}，{1,5,-1,3,-1,-5}，{-1,3,7,3,-1,-5}，{-1,-3,3,7,5,-5}，{1,5,1,7,-1,-3}，{-3,3,7,5,-5,-1}，{-7,-1,-5,1,-7,7}; and/or,
When u＝26, the sequence {ω(i)} is one of the following sequences:{3,-7,-5,3,3,-7}，{5,-7,-1,5,3,-7}，{3,7,-5,7,3,-7}，{5,-7,-3,7,3,-7}，{5,7,-3,7,3,-7}，{5,-7,-3,-7,5,-7}，{5,-7,-3,-5,5,-7}，{5,-5,-1,-5,5,-7}，{5,-7,-3,5,5,-7}，{3,-7,-3,7,5,-7}，{5,-7,-3,7,5,-7}，{3,7,-3,7,5,-7}，{5,-7,-1,7,5,-7}，{5,-5,-3,5,5,-5}，{-7,-3,1,-5,7,-5}，{7,-3,1,-3,7,-5}; and/or,
When u＝27, the sequence {ω(i)} is one of the following sequences:{-3,3,1,5,-5,-7}，{1,5,1,-7,-3,-7}，{3,5,1,-5,-3,-7}，{-5,5,1,3,-3,-7}，{-3,5,1,5,-3,-7}，{-1,3,1,7,-3,-7}，{1,3,3,7,-3,-7}，{5,7,-3,-5,1,-7}，{5,-7,-1,-3,1,-7}，{5,-7,1,-3,1,-7}，{-3,-7,1,5,1,-7}，{-1,-3,3,5,1,-7}，{5,7,-3,-3,3,-7}，{7,-5,1,-1,3,-7}，{7,-5,3,-1,3,-7}，{-3,-5,1,5,3,-7}，{-1,-3,1,7,3,-7}，{-1,-3,3,7,3,-7}，{-1,-3,1,-7,5,-7}，{1,-3,1,-7,5,-7}，{7,-7,1,-3,5,-7}，{5,-3,1,-3,5,-7}，{7,-5,1,-1,5,-7}，{7,-3,1,-1,5,-7}，{1,-3,1,7,5,-7}，{3,-1,1,-5,7,-7}，{5,-1,1,-3,7,-7}，{1,5,3,-7,-3,-5}，{-1,7,3,7,-3,-5}，{-1,5,3,7,-1,-5}，{7,-7,3,-1,1,-5}，{-3,-7,3,5,1,-5}，{7,5,-5,-1,5,-5}，{7,-5,1,-1,5,-5}，{1,-1,3,-7,7,-5}，{1,7,5,-7,1,-3}，{-7,3,-1,1,-5,7}，{3,5,-5,-7,-1,7}，{5,-5,-1,-3,3,7}; and/or,
When u＝28, the sequence {ω(i)} is one of the following sequences:{-3,1,-7,-3,-7,-7}，{5,-7,-5,-1,-7,-7}，{-3,-1,-5,-1,-7,-7}，{-3,1,-5,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{-3,1,-7,-3,-5,-7}，{-5,-1,-1,-7,-3,-7}，{-3,1,-7,-3,-3,-7}，{-3,1,1,-5,-1,-7}，{-1,1,-7,-1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-3,1,-3,-3,1,-7}，{-3,1,-1,-3,1,-7}，{-3,1,1,-3,1,-7}，{1,1,-7,1,1,-7}，{-3,1,-7,5,1,-7}，{-3,-7,-7,3,7,-7}，{5,-5,5,5,-5,3}; and/or,
when u =29, the sequence { ω (i) } is the following sequence: { -3, -3,7, -5, -1, -7}.
In the present embodiment, the sequence y is not limited u (i) As long as the determined sequence y is determined u (i) It is enough that it satisfies the given preset condition, where the preset condition is
For example, the sequence y u (i) It can be pre-stored or configured in the terminal device. In another embodiment, the { ω (i) } is pre-stored or configured in the terminal device and/or the network device, specifically, the terminal or the network device may store 30 sequences, each sequence is associated with a u value, and the specific sequence may be one of the sequences according to u =0 to u =29 in the above description. It should be understood that the value of u may be merely to index one sequence of index numbers, as previously described, e.g., the sequence associated with u =0 in the above sequence may be associated with other index numbers.
As another example, the sequence y u (i) May be generated according to a certain rule. Taking u =0 as an example, the sequence y 0 (i) Can be according to
The generated sequence of { ω (i) } may be a sequence when u =0 as described above.
Exemplarily, { ω (i) } = {5, -7, -3,5, -7, -7} when u =0, { ω (i) } = { ω = {5, -7, -3,5 }, then { ω } will be (c) } fi) } = {5, -7, -3,5, -7, -7} substitution
D is a non-zero complex number to obtain { y 0 (i)} 6.1 . Wherein, { y 0 (i)} 6.1 Sequence 1 obtained when M =6 and u =0 is indicated. Substituting { ω (i) } = -1,1, -7, -1, -1, -7} into when u =0, { ω (i) } = { -1,1, -7, -1, -1, -1, -7}, respectively
D is a non-zero complex number to obtain { y 0 (i)} 6.2 . Wherein, { y 0 (i)} 6.2 Sequence 2 obtained when M =6 and u =0 is shown.
Above { y 0 (i)} 6.1 And { y) above 0 (i)} 6.2 The autocorrelation value, cross-correlation value, PAPR value between a plurality of signals obtained from a plurality of sequences differing by a constant are correspondingly the same, that is, according to { y } 0 (i)} 6.1 The obtained signal is compared with the signal according to { y 0 (i)} 6.2 The obtained autocorrelation value, cross-correlation value and PAPR value between the signals are correspondingly the same.
Similarly, when u =1, { y ] is obtained from the above-described plurality of sequences, respectively 1 (i) }, obtained { y 1 (i) A constant difference between them, according to a plurality of y 1 (i) The obtained multiple signals have the same autocorrelation value, cross-correlation value and PAPR value. For u =1 to u =29, the description of the present application is omitted.
It should be noted that the first flag u may only serve as a flag, and in this embodiment, 30 possible sets of ω (i) sequences are shown, so as to determine 30 possible sets of y u (i) And f, the first identifier u may be a group identifier, and the value of u may be 0 to 29, it is understood that u may also be any 30 different numerical values for identifying the 30 groups of sequences.
Therefore, although the embodiment of the present application shows that when u =0, the sequence { ω (i) } is one of the following sequences: {5, -7, -3,5, -7, -7},{ -1,1, -7, -1, -1, -7},{1,3, -7,1, -1, -7},{ -1,1,7,1, -1, -7},{1,3, -7,3,1, -7},{ -5,5, -5, -5,3, -7},{1,3, -7,3,3, -7},{3, -7, -5,3,3, -7},{3,5, -5,7,3, -7},{ -5,5, -7, -5,5, -7},{1,5, -7,5,5, -7},{3,7, -5,5,5, -7},{5, -7, -5,5, -7, -5},{ -1,3,7,3, -1, -5},{ -1,1, -5, -1,1, -5},{1,3, -5,3,1, -5},{5, -5, -3,5,5, -5},{5,7, -3,5,5, -5},{5, -7, -3, -7,7, -5},{5, -7, -1, -5,7, -5},{7, -5, -1, -5,7, -5},{ -3,7, -5, -3,7, -5},{5, -7, -5,5,7, -5}. That is, when u =0, the sequence { ω (i) } may be one of the one or more sequences described above. It is understood that the value of u as the identifier at this time may not be 0 but other numerical value that can be distinguished from the other 29 group identifiers.
The sequence { omega (i) } provided by the embodiment of the application can enable the sequence { y } u (i) The autocorrelation value of y is small, so that y can be made according to the sequence u (i) The generated first signal keeps the low PAPR, thereby improving the accuracy of channel estimation.
Illustratively, for u e {0,1., 29}, the sequence { ω (i) } corresponds to the sequence { y (y) } after 8PSK modulation u (i) After using the frequency domain filter, i.e. after DFT, the filter coefficient is [0.28,1,0.28 ]]The PAPR is less than 2.5dB.
Alternatively, the sequence { y } u (i) Cyclic shift autocorrelation X of 1 The following formula (5-2) can be satisfied.
In the above formula (5-2), k 1 Representing a sequence y u (i) The number of time samples of the time domain offset, modulo the mathematical sign mod, which represents the conjugate, cyclic shift autocorrelation can also be understood as autocorrelation.
Sequence y u (i) The autocorrelation value of the sequence is relatively small, so that relatively low interference between the DMRS signals in the cell can be ensured, and for u epsilon {0,1.., 29}, and M =6, the sequence { omega (i) } corresponds to a sequence { y } after being modulated by 8PSK u (i) The autocorrelation of the satisfies:
where the maximum time domain shift time window T '=2, that is, the time delay caused by multipath does not exceed the maximum time domain shift time window T' =2 (as shown in fig. 4), k 1 ∈[1,T']，M＝6。
S502, the terminal equipment according to the sequence y u (i) And generating a first signal and sending the first signal to the network equipment.
The embodiment of the application determines the sequence { y) by the terminal equipment u (i) And according to the sequence y u (i) For example, in an alternative embodiment, the network device may determine the sequence { y }by generating a first signal to send to the network device u (i) And according to the sequence y u (i) And generating a first signal and sending the first signal to the terminal equipment.
Embodiments herein are described with DMRS as an example, and in some embodiments, the first signal may be another reference signal.
For example, the first signal may include a demodulation reference signal (DMRS).
The terminal device follows a sequence y u (i) Generates a first signal, so that, prior to generating the first signal, the terminal device can determine the values of the first indicator u and thus the sequence y u (i)}。
In some embodiments, the value of the first identifier u may be configured by the network device for the terminal device. That is, the network device is pre-configured with multiple sets of sequences, each set including one sequence y u (i) For example for sequence set u =0, comprising the sequence y 0 (i) And, in turn, u =29. Each group identity corresponds to a sequence y u (i) The network device can start from 30 sequences y u (i) Determining the sequence allocated to the terminal equipment, and configuring the group identifier u of the group in which the corresponding sequence is located to the terminal equipment. For example, the network device determines that the sequence assigned to the terminal device is { y } 20 (i) The network device may be configured to select { y } 20 (i) The group identifier u =20 of the sequence group in which it is located is configured for the terminal device. The terminal equipment determines a sequence { y according to the value of the configured first identifier u 20 (i) Is further according to { y } 20 (i) Generates a first signal.
In other embodiments, the value of the first identifier u may be determined by the terminal device based on an Identity (ID) of the reference signal and/or an identifier of the time unit.
Alternatively, the identification of the time unit may be an index of a slot (slot) or an index of a symbol.
Alternatively, the ID of the reference signal may be configured for the terminal device by the network device. The ID of the reference signal may be used to identify the reference signal of the cell, and the IDs of the reference signals corresponding to different cells may be different.
For example, the terminal device may determine the value of the first identifier u by following the following procedure, so as to determine the sequence { y u (i) According to the sequence y u (i) Generates a first signal. Still, a plurality of sets of sequences are predefined, each set including one sequence y u (i) For example for sequence set u =0, comprising the sequence y 0 (i) And, in turn, u =29. That is, the first flag u and the sequence y are predefined u (i) And (5) corresponding relation of the points. When the value of u is determined, the corresponding sequence y can be determined u (i)}。
The first flag u satisfies the formula (5-3).
In the formula (5-3),
for the ID of the reference signal, the mathematical symbol mod is modulo, f gh The following formula (5-4) is satisfied.
When group hopping is not enabled, f gh And =0. When group hopping enabled (group hopping based), the ID of the reference signal and the identity of the time unit are used in this example, so that the determined u varies with the ID and with timeAnd the interference between adjacent cells can be more randomized within a period of time, thereby improving the system performance.
Alternatively, the enabling of the group hop may be signaled.
Exemplarily, the grouporsequencehosting configuration is signaled by a higher layer. For example, when the configuration indicates 'neither' (neither), the group hop is not turned on; when the configuration indicates 'grouphoping', the group hop is turned on.
In the formula (5-4), the first and second groups of the compound,
for the number of OFDM symbols per slot,
is a slot index, l is an index of a first symbol occupied by the DMRS within one slot, 
Equation (5-5) can be satisfied.
c(n)＝(x 1 (n+N C )+x 2 (n+N C ))mod2 (5-5)
In the formula (5-5), N C =1600, the mathematical symbol mod represents modulo, and the length of n may be R, n e [0,1., R-1]. When n is 0, x 1 (0) =1; when n =1,2, …,30, x 1 (n)＝0。x 2 Initial values c of (n) and c (n) init The following formula (5-6) is satisfied.
In the formula (5-6), the first,
mathematical symbols
Meaning that the rounding is done down,
is the ID of the reference signal.
When n is an integer between 31 and R-1, x 1 (n) satisfies the following formula (5-7).
x 1 (n+31)＝(x 1 (n+3)+x 1 (n))mod2 (5-7)
When n is an integer of 31 to R-1, x 2 (n) satisfies the following formula (5-8).
x 2 (n+31)＝(x 2 (n+3)+x 2 (n+2)+x 2 (n+1)+x 2 (n))mod2 (5-8)
Illustratively, in the above formula (5-1), i takes a value of 0,1, 2, 3, 4, or 5.
It should be noted that, in the embodiment of the present application, the value of i in the formula (5-1) is not limited, and may be any natural number, and it is sufficient to identify elements in a sequence.
In one possible design, in S502, the terminal device follows the sequence y u (i) Generating a first signal and sending it to the network device, which may include S601, S602a, S603, and S604 as shown in fig. 6, or S601, S602b, S603, and S604 as shown in fig. 6.
S601, the terminal equipment pairs the sequence { y u (i) The 6 elements in the sequence are processed by discrete Fourier transform to obtain the sequence g u (i)}。
Exemplarily, { g u (i) Element g in u (i) Is to the sequence y u (i) Element y in u (i) And (3) performing Discrete Fourier Transform (DFT) to obtain the final product.
Alternatively, g u (i) Can be expressed as equation (5-9).
In the above formula (5-9), M is the sequence { y } u (i) The number of elements in. k is an integer of 0 or more and M-1 or less, e is a natural constant,
element y u (k) Is an element y u (i)。
Exemplarily, in the method illustrated in fig. 5, M =6.
Alternatively, element g u (i) Can be expressed as element g u,ν (i) In that respect Where ν may indicate a base sequence number, { g u (i) It can be called a base sequence. From equations (5-9), the sequence y u (i) And the sequence g u (i) Having a one-to-one correspondence relationship, for a sequence group u =0, the sequence group includes a sequence { y } 0 (i) H, for the sequence y 0 (i) Discrete Fourier transform of the elements in the sequence can obtain the sequence g 0 (i) And (4) the balance of the measured time. If the sequence set 0 includes sequences other than y 0 (i) And (4) other sequences are included, and another base sequence is obtained by performing discrete Fourier transform on other sequences in the sequence group 0. This gives a motif group corresponding to sequence group 0, which can also be denoted as u =0. To distinguish the base sequence g u (i) And other base sequences in the base sequence group 0, a base sequence number v may be assigned to each base sequence in a base sequence group. At this time, the base sequence { g } u (i) It can be expressed as g u,v (i) And (4) dividing. If there are two base sequences in the base sequence group, then v can be illustratively 0 or 1.
For example, in the embodiments of the present application, for { g } u (i) V may be equal to 1, i.e. { g } u,1 (i)}。
Alternatively, the element y u (i) Can be represented as element y u,ν (k)。
Alternatively, element g u, V (i) can be expressed as
Wherein α =0 and δ =1;
the number of sub-carriers occupied by the PUSCH,
is the number of sub-carriers contained in one RB, and m is the number of RBs occupied by PUSCH. δ =1 denotes the sequence { g } u,ν (i) Mapped to subcarriers having a center frequency spacing of 2 times the subcarrier size of adjacent subcarriers.
Alternatively, the sequence { y } u (i) The number of elements M in (j) can be expressed as
FIG. 7a, FIG. 7b and FIG. 7c are sequences y provided in the embodiments of the present application u (i) Get the frequency domain g by DFT u (i) Schematic of.
In some embodiments, the sequence of pairs of terminal devices y u (i) DFT processing to get the sequence g u (i) In this process, no filter may be used, or the step of using a filter may be skipped, as shown in fig. 7a, e.g. M may be equal to 6.
In other embodiments, the terminal device may be in pair sequence y u (i) Before the 6 elements in the sequence are processed by discrete Fourier transform, the sequence y is processed u (i) And filtering is carried out.
As shown in FIG. 7b, the sequence of pairs of terminal devices y u (i) DFT processing is carried out to obtain a sequence g u (i) In the process, after the filter is used, DFT processing is performed to obtain the sequence g u (i) For example M may be equal to 6.
In still other embodiments, the terminal device may be in pair sequence y u (i) After discrete Fourier transform processing of 6 elements in the sequence y u (i) And filtering is carried out.
As shown in FIG. 7c, the sequence of pairs of terminal devices { y } u (i) DFT processing is carried out to obtain a sequence g u (i) In the process, after DFT processing, a filter can be used to obtain the sequence g u (i) For example M may be equal to 6.
S602a, the terminal equipment sends the sequence g u (i) Mapping 6 elements in the symbol to consecutive 6 subcarriers, respectively, to obtain a first frequency-domain signal containing 6 elements.
FIGS. 8a, 8b and 9 show the sequence g provided in the embodiments of the present application u (i) Schematic mapping onto subcarriers.
In FIG. 8a, FIG. 8b and FIG. 9, s +0, s +1, s +2, …, s + M-2, s + M-1 are subcarrier symbols.
Alternatively, s may be any natural number, e.g., s may be any integer.
As shown in FIG. 8a or FIG. 8b, the terminal device may transmit the sequence g u (i) Element g in u (0) To g u (M-1) are mapped to M consecutive subcarriers, which may be numbered s +0, s +1, …, s + M-1, respectively, e.g., M may equal 6.
In one possible example, the terminal device will sequence g u (i) M elements in the sequence are mapped to M subcarriers in turn according to the sequence of subcarrier marks from high to low. Wherein a sequence g u (i) The elements in the constellation map to one frequency domain subcarrier. The frequency domain subcarrier is the smallest unit of frequency domain resources and can be used to carry data information.
As shown in fig. 8a, element g u (0) To g u (M-1) are mapped to subcarriers s + M-1 to subcarriers s +0 in sequence, respectively.
In one possible example, the terminal device will sequence g u (i) And M elements in the (M) are mapped to M subcarriers in sequence according to the sequence of the subcarrier labels from low to high. Will sequence { g u (i) Mapping of an element to a subcarrier in the } can be understood as carrying the element on the subcarrier.
As shown in FIG. 8b, element g u (0) To g u And (M-1) are respectively mapped to the subcarriers s +0 to s + M-1 in sequence.
In a communication system, different terminal devices may occupy different subcarriers to transmit data. The location of the M subcarriers among the plurality of subcarriers present in the communication system may be predefined or configured by the network device through signaling.
S602b, the terminal equipment sends the sequence g u (i) Mapping 6 elements in the symbol to 6 equally spaced subcarriers respectively to obtain a first frequency domain signal containing 6 elements.
As shown in fig. 9, the distance between the center frequencies of adjacent subcarriers in M subcarriers is 2 subcarriers, and the M subcarriers are equally spaced in the frequency domain. Wherein, the sequence { g u (i) Element g in u (0) To g u The (M-1) maps to M equally spaced subcarriers, numbered s +0, s +2, …, s +2 (M-1), respectively.
The embodiment of the application aims at the sequence g u (i) The manner in which M elements in the symbol are mapped to M subcarriers is not limited, and is not limited to the above manner.
S603, the terminal device generates a first signal according to the first frequency domain signal containing 6 elements.
Illustratively, the terminal device performs Inverse Fast Fourier Transform (IFFT) on a first frequency domain signal including 6 elements to obtain a corresponding time domain signal, and adds a cyclic prefix to the time domain signal to generate a first signal.
For example, a time domain signal obtained by the terminal device after performing IFFT on the generated frequency domain signal of M points may be an Orthogonal Frequency Division Multiplexing (OFDM) symbol.
To convert the sequence g u (i) The 6 elements in the are mapped to 6 subcarriers with equal spacing, respectively, and u =0 is taken as an example. By assigning a sequence g when configuring one symbol for DMRS 0 (i) Mapping 6 elements in the symbol to even subcarriers (e.g., the subcarriers numbered 0,2,4 … in fig. 2 (a)), respectively, a first signal 1 can be obtained; by combining the sequences g 0 (i) The 6 elements in (a) are mapped to odd subcarriers (e.g., the subcarriers numbered 1,3,5 … in fig. 2), respectively), and the first signal 2 can be obtained. As such, when one symbol is configured for DMRS, it may pass through the sequence { y u (i) Get to2 orthogonal DMRS multiplexes.
To convert the sequence g u (i) The 6 elements in the are mapped to 6 subcarriers with equal spacing, respectively, and u =0 is taken as an example. By assigning a sequence g when two symbols are configured for DMRS 0 (i) Mapping 6 elements in the symbol to even subcarriers of two symbols (for example, a subcarrier numbered 0,2,4 … corresponding to a symbol 0 in (b) of fig. 2 and a subcarrier numbered 0,2,4 … corresponding to a symbol 1 in (b) of fig. 2), while superimposing an orthogonal code (1,1) and an orthogonal code (1, -1) in the time domain, respectively, can obtain a first signal 3 and a first signal 4, respectively; by combining the sequences g 0 (i) The 6 elements in (b) are mapped to odd subcarriers of two symbols (for example, the subcarrier numbered 1,3,5 … corresponding to the symbol 0 in (b) of fig. 2 and the subcarrier numbered 1,3,5 … corresponding to the symbol 1 in (b) of fig. 2), respectively, while the orthogonal code (1,1) and the orthogonal code (1, -1) are superimposed in the time domain, respectively, and the first signal 5 and the first signal 6 can be obtained, respectively. As such, when two symbols are configured for DMRS, the sequences y may be passed u (i) Obtain 4 orthogonal DMRS multiplexes.
S604, the terminal equipment sends a first signal.
Optionally, the terminal device sends the bearer sequence { g over the M subcarriers u (i) } of the first signal.
In some embodiments, the terminal device may transmit the bearer sequence g on one OFDM symbol u (i) Can be transmitted over multiple OFDM symbols, or can be transmitted over multiple OFDM symbols carrying the sequence g u (i) } of the first signal.
Optionally, the first signal is a signal for carrying communication information.
In one possible design, the sequence y u (i) And the sequence r u (i) Correspond to, sequence r u (i) Consists of 6 elements, r u (i) Is a sequence { r u (i) Element in { C }, sequence { r } u (i) It satisfies the formula (5-10).
In the above formula (5-10), C is a non-zero complex number, element
Sequence of compositions
That is, the sequence y 0 (i) And the sequence r 0 (i) Is corresponding to, the sequence y 1 (i) And the sequence r 1 (i) It is not described herein in detail.
For a specific implementation of u, reference may be made to the above S501, which is not described herein again.
Optionally, when u =0, the sequence
Comprises the following steps: -1, -7, -3, -5, -1,3}; and/or the presence of a gas in the gas,
when u =1, sequence
Comprises the following steps: { -1,3,7, -3,7,3}; and/or the presence of a gas in the gas,
when u =2, the sequence
Comprises the following steps: { -1,3,1,5, -1, -5}; and/or the presence of a gas in the gas,
When u =3, the sequence
Comprises the following steps: { -7, -3, -7,5, -7, -3}; and/or the presence of a gas in the gas,
when u =4, the sequence
Comprises the following steps: {7,5, -1, -7, -3,1}; and/or the presence of a gas in the gas,
when u =5, the sequence
Comprises the following steps: {3, -3,1,5, -1, -1}; and/or the presence of a gas in the gas,
when u =6, the sequence
Comprises the following steps: { -7, -3, -7, -3,7, -5}; and/or the presence of a gas in the atmosphere,
when u =7, the sequence
Comprises the following steps: { -7, -3,1, -5, -1, -5}; and/or the presence of a gas in the atmosphere,
when u =8, the sequence
Comprises the following steps: { -7, -3,3, -3, -7, -3}; and/or the presence of a gas in the gas,
when u =9, the sequence
Comprises the following steps: { -7, -7, -1,1, -5,1}; and/or the presence of a gas in the gas,
when u =10, the sequence
Comprises the following steps: { -7, -3, -7,5, -1,5}; and/or the presence of a gas in the gas,
when u =11, the sequence
Comprises the following steps: { -7, -7, -3,1,5, -1}; and/or the presence of a gas in the gas,
when u =12, the sequence
Comprises the following steps: {5,7, -3, -5,5, -5}; and/or the presence of a gas in the gas,
when u =13, the sequence
Comprises the following steps: { -3,7, -5, -1, -5, -1}; and/or the presence of a gas in the atmosphere,
when u =14, the sequence
Comprises the following steps: {5, -7,7,1,5,1}; and/or the presence of a gas in the gas,
when u =15, the sequence
Comprises the following steps: { -7,3,1,5, -1,3}; and/or the presence of a gas in the atmosphere,
when u =16, sequence
Comprises the following steps: -7, -5, -1, -7, -5,5}; and/or the presence of a gas in the gas,
when u =17, the sequence
Comprises the following steps: { -7,1, -3,3,7,5}; and/or the presence of a gas in the gas,
when u =18, the sequence
Comprises the following steps: -7, -7,3,5,1,5}; and/or the presence of a gas in the atmosphere,
when u =19, the sequence
Comprises the following steps: { -7, -3,3, -1,3, -5}; and/or the presence of a gas in the gas,
when u =20, the sequence
Comprises the following steps: { -7, -5,5,3, -7, -1}; and/or the presence of a gas in the gas,
When u =21, the sequence
Comprises the following steps: {1,5,1,5,3,7}; and/or the presence of a gas in the gas,
when u =22, the sequence
Comprises the following steps: {1, -3,1, -5, -1,3}; and/or the presence of a gas in the gas,
when u =23, the sequence
Comprises the following steps: {1,7,1, -5, -7, -1}; and/or the presence of a gas in the gas,
when u =24, the sequence
Comprises the following steps: {1, -1,3, -1, -7, -3}; and/or the presence of a gas in the atmosphere,
when u =25, the sequence
Comprises the following steps: {1, -1, -5, -1,3, -3}; and/or the presence of a gas in the atmosphere,
when u =26, the sequence
Comprises the following steps: {1, -1,3, -1,3,7}; and/or the presence of a gas in the gas,
when u =27, the sequence
Comprises the following steps: { -5,3,7,5,3,7}; and/or the presence of a gas in the gas,
when u =28, the sequence
Comprises the following steps: { -7,1, -3,1,5,1}; and/or the presence of a gas in the gas,
when u =29, the sequence
Comprises the following steps: {1,5,3, -7,5, -3}.
In the case where M is equal to 6, when u =0, the sequence { ω (i) } is one of one or more sequences: {5,-7,-3,5,-7,-7}，{-1,1,-7,-1,-1,-7}，{1,3,-7,1,-1,-7}，{-1,1,7,1,-1,-7}，{1,3,-7,3,1,-7}，{-5,5,-5,-5,3,-7}，{1,3,-7,3,3,-7}，{3,-7,-5,3,3,-7}，{3,5,-5,7,3,-7}，{-5,5,-7,-5,5,-7}，{1,5,-7,5,5,-7}，{3,7,-5,5,5,-7}，{5,-7,-5,5,-7,-5}，{-1,3,7,3,-1,-5}，{-1,1,-5,-1,1,-5}，{1,3,-5,3,1,-5}，{5,-5,-3,5,5,-5}，{5,7,-3,5,5,-5}，{5,-7,-3,-7,7,-5}，{5,-7,-1,-5,7,-5}，{7,-5,-1,-5,7,-5}，{-3,7,-5,-3,7,-5}，{5,-7,-5,5,7,-5}. Sequence of 
Comprises the following steps: { -1, -7, -3, -5, -1,3}. For example, when u =0, the sequence { ω (i) } {5, -7, -3,5, -7, -7} and the sequence
{ -1, -7, -3, -5, -1,3} corresponds. Similarly, the sequence { ω (i) } when u =1 and the sequence when u =1
Correspondingly, similarly, the sequence { ω (i) } when u ∈ { 2.,. 29} is respectively the sequence when u ∈ { 2.,. 29}, respectively
Correspondingly, it is not repeated herein.
Thus, the sequence { y u (i) And the sequence r u (i) The corresponding relationship of (c) may be:
the first identifier u may be a group identifier, and when the group identifier u =0, the sequence { ω (i) } = {5, -7, -3,5, -7, -7}, the sequence is
The sequence y is obtained from the sequence omega (i) = {5, -7, -3,5, -7, -7} 0 (i) Is composed of the sequence
To obtain the sequence r 0 (i) }, sequence { y 0 (i) And the sequence r 0 (i) Are all sequences in sequence set 0. I.e. for the same group identity u, sequence y u (i) And the sequence r u (i) Are in the same sequence group. It is to be understood that the first identifier u serves merely as an identifier, and in this exemplary context of this paragraph, it is merely illustrated by the group identifier u =0, when { ω (i) } = {5, -7, -3,5, -7, -7}, the sequence is as follows
Corresponding sequence y u (i) And the sequence r u (i) In the same sequence group, or the sequence y u (i) And the sequence r u (i) And u can take any value different from 0 as long as the value is taken as an identifier.
Alternatively, the sequence { y } u (i) And the sequence r u (i) The cyclic shift cross-correlation X of 2 The following formula (5-11) can be satisfied.
In the above formula (5-11), k 1 Representing a sequence y u (i) The number of time samples of the time domain offset, k1 being an integer, k 2 Representing a sequence r u (i) The number of time samples of the time domain offset, k2 is an integer, the mathematical notation mod is modulo, which denotes the conjugate.
The sequence provided by the application, { omega (i) }, and corresponding sequences
May be such that the sequence y u (i) And the sequence r u (i) The cross-correlation value between is small. For u e {0,1,...,29}, on the premise that the autocorrelation is satisfied, the sequence { ω (i) } corresponds to the sequence { y (y) } after 8PSK modulation u (i) Satisfy the sequence r simultaneously u (i) The cross-correlation is as follows:
where, illustratively, the maximum time domain shift time window T' =2 (as shown in fig. 4), k 1 ∈[0,T']，k 2 ∈[0,T']，M＝6。
Optionally, a sequence y corresponding to the same first identifier u may be used u (i) And the sequence r u (i) Assigned to the same cell, e.g. the sequence y u (i) And the sequence r u (i) It may be allocated to the same terminal equipment or different terminal equipment of the same cell. Sequence { y u (i) And the sequence r u (i) The cross correlation value between the DMRS signals is small, and the interference of the DMRS signals in the cell can be reduced. Different first identifiers can be identified u (sequence set includes the sequence y) u (i) And the sequence r u (i) }) to the same cell or different cells, sequence y u (i) The autocorrelation value of the sequence is small, the sequence r u (i) The autocorrelation value of the DMRS is small, and the interference of the DMRS signals among cells can be reduced. Suppose u ∈ {0,1.., 29}, with 30 sets of sequences { y } u (i) For example, in one scheduling, u may be equal to 0 associated sequence y u (i) And the sequence r u (i) Assigned to cell 1 for use, the sequence y associated with u equal to 1 u (i) And the sequence r u (i) Assigned to cell 2, u is similarly equal to the associated sequence y of 2 to 29 u (i) And the sequence r u (i) Are respectively allocated to the cells 3 to 30 for use.
Exemplarily, the cross-correlation between the 30 sets of sequences { ω (i) } is less than 0.96 for the sequences { ω (i) } when M =6,i =0,1,2,3,4,5, u ∈ {0,1,...,29}, so that the inter-cell interference performance is relatively small.
TABLE 1
| u | ω(0) | ω(1) | ω(2) | ω(3) | ω(4) | ω(5) |
| 0 | 5 | -7 | -3 | 5 | -7 | -7 |
| 1 | 5 | -7 | 3 | -1 | 3 | -7 |
| 2 | -5 | -1 | -7 | -5 | -1 | -7 |
| 3 | 5 | -7 | -3 | -5 | -1 | -7 |
| 4 | 5 | -7 | 1 | 1 | 3 | -5 |
| 5 | 1 | -1 | 7 | 1 | -7 | -1 |
| 6 | 1 | -7 | -5 | 1 | 1 | -5 |
| 7 | -3 | 7 | 3 | -1 | 5 | -7 |
| 8 | 3 | 1 | 5 | -1 | -1 | -7 |
| 9 | -3 | -7 | -3 | 5 | 1 | -7 |
| 10 | -7 | 5 | -7 | -5 | -1 | -5 |
| 11 | 1 | 5 | -3 | -7 | 5 | -7 |
| 12 | 5 | -1 | 5 | 1 | 3 | -7 |
| 13 | -1 | -7 | -1 | -1 | 7 | -7 |
| 14 | 3 | 7 | 3 | 5 | -3 | -7 |
| 15 | -5 | -5 | -1 | 5 | 1 | -7 |
| 16 | 3 | 5 | -1 | 5 | 3 | -7 |
| 17 | 5 | -5 | -5 | 1 | -5 | -5 |
| 18 | -1 | -5 | -3 | 3 | 1 | -7 |
| 19 | 3 | 1 | -7 | 1 | 3 | -7 |
| 20 | -7 | -1 | 5 | 1 | 3 | -7 |
| 21 | -7 | 1 | 1 | 7 | -1 | -7 |
| 22 | 5 | -5 | -1 | -5 | 5 | -7 |
| 23 | 5 | 5 | -7 | -5 | 7 | -5 |
| 24 | 7 | -1 | 5 | 7 | 1 | -7 |
| 25 | -5 | 1 | -3 | 3 | -5 | -7 |
| 26 | 3 | -7 | -5 | 3 | 3 | -7 |
| 27 | 7 | -5 | 3 | -1 | 3 | -7 |
| 28 | -7 | 1 | -7 | -7 | 1 | -7 |
| 29 | -3 | -3 | 7 | -5 | -1 | -7 |
In table 1, {5, -7, -3,5, -7, -7} is one of a plurality of sequences shown when u =0 in S501, and so on, {5, -7,3, -1,3, -7} is one of a plurality of sequences shown when u =1 in S501, and { -5, -1, -7, -5, -1, -7} is one of a plurality of sequences shown when u =2 in S501, and { -3, -3,7, -5, -1, -7} is one of a plurality of sequences shown when u =29 in S501, which are not repeated. It should be noted that the table shown in table 1 is only one possible combination, and in this table, when u takes a value of 0, { ω (i) } may be replaced by any one of the following sequences: { -1,1, -7, -1, -1, -7},{1,3, -7,1, -1, -7},{ -1,1,7,1, -1, -7},{1,3, -7,3,1, -7},{ -5,5, -5, -5,3, -7},{1,3, -7,3,3, -7},{3, -7, -5,3,3, -7},{3,5, -5,7,3, -7},{ -5,5, -7, -5,5, -7},{1,5, -7,5,5, -7},{3,7, -5,5,5, -7},{5, -7, -5,5, -7, -5},{ -1,3,7,3, -1, -5},{ -1,1, -5, -1,1, -5},{1,3, -5,3,1, -5},{5, -5, -3,5,5, -5},{5,7, -3,5,5, -5},{5, -7, -3, -7,7, -5},{5, -7, -1, -5,7, -5},{7, -5, -1, -5,7, -5},{ -3,7, -5, -3,7, -5},{5, -7, -5,5,7, -5}. For u being other values, { ω (i) } may be replaced as well, and will not be described herein. Moreover, it can be understood that the technical solutions of the embodiments of the present application further include a table formed by any one or more rows in table 1, and for simplicity of description, the table formed by all possible one or more rows is not listed here. It should be understood that the values of u in the above table are not limited to the values listed in table 1, and u represents only a group identifier, and the values of u in table 1 may be replaced by other values. In one embodiment, table 1 may be stored in a terminal device and/or a network device, or in a chip or other storage medium.
According to the sequence y u (i) Similarly, in a possible design manner, the signal processing method shown in fig. 5 may further include: the terminal device may be based on the sequence r u (i) And generating a third signal and sending the third signal to the network equipment.
Optionally, the terminal device follows the sequence r u (i) The specific implementation manner of generating and sending the third signal to the network device is similar to that of S601, S602a, S603, and S604, or S601, S602b, S603, and S604.
Similarly, the terminal device may pair the sequences r u (i) Discrete Fourier transform processing is carried out on 6 elements in the sequence to obtain a sequence f u (i) }; will sequence { r u (i) Mapping 6 elements in the sequence onto 6 consecutive subcarriers, respectively, to obtain a third frequency domain signal containing 6 elements, or mapping the sequence { r } onto the sequence { r } of the third frequency domain signal u (i) Mapping 6 elements in the frequency band to 6 equally spaced subcarriers, respectively, to obtain a third frequency domain signal containing 6 elements; and generating a third signal according to the third frequency domain signal containing 6 elements, and transmitting the third signal through radio frequency. S601, S602a, S602b, S603, and S604 may be specifically referred to, and are not described herein again.
Taking u =0 as an example, the sequence group 0 includes the sequence { y } 0 (i) And { r } 0 (i) For sequence y 0 (i) Performing discrete Fourier transform to obtain a sequence g 0 (i) Can be applied to the sequence r 0 (i) Performing discrete Fourier transform to obtain a sequence f 0 (i) }, sequence { g 0 (i) And the sequence f 0 (i) Is a base sequence belonging to the same base sequence group 0, and can be the sequence { g } 0 (i) And the sequence f 0 (i) V =1 and v =0 are assigned to base sequence numbers, respectively. Thus, the sequence { g 0 (i) And the sequence f 0 (i) Can be expressed as g 0,1 (i) And { f }and 0,0 (i)}。
To convert the sequence f u (i) The 6 elements in the } are mapped to 6 subcarriers of equal spacing, respectively, and u =0 is taken as an example. By combining the sequence { f when one symbol is configured for DMRS 0 (i) Mapping 6 elements in the symbol to even subcarriers (for example, the subcarrier numbered 0,2,4 …), respectively, can obtain a third signal 1; by combining the sequences f 0 (i) The 6 elements in the symbol are mapped to odd subcarriers, e.g. the subcarrier numbered 1,3,5 …, respectively, and a third signal 2 can be obtained.
As such, when one symbol is configured for DMRS, a sequence { r } associated by one first identity u may be used u (i) Obtain 2 orthogonal DMRS multiplexes.
Further, when one symbol is configured for the DMRS, the associated sequence { y) according to the first identifier u u (i) The obtained 2 DMRSs are associated with a sequence r associated according to the same first identity u u (i) The obtained 2 DMRSs can increase the number of the DMRSs to 4 by code division, so that 4 orthogonal DMRS multiplexing can be supported.
Illustratively, a sequence y associated with a first identity u is configured for DMRS by one symbol u (i) And the sequence r u (i) For example, the sequence y associating u =0 is assigned to cell 1 u (i) Assigned to terminal device 1-terminal device 2 in cell 1 for use, the sequence r associating u =0 u (i) Assigned to terminal equipment 3-4 in cell 1. Wherein the terminal device 1 can convert the sequence y 0 (i) The 6 elements in the sequence are processed by discrete Fourier transform to obtain a sequence g 0 (i) H, will sequence { g 0 (i) 6 elements in the map are mapped separatelyTo the even subcarriers (such as the subcarrier numbered 0,2,4,6,8,10 in fig. 2) to generate the first signal 1. Terminal device 2 may convert the sequence y 0 (i) The 6 elements in the sequence are processed by discrete Fourier transform to obtain the sequence g 0 (i) H, will sequence { g 0 (i) The 6 elements in the symbol map to odd subcarriers (the subcarrier numbered 1,3,5,7,9,11 as shown in fig. 2) to generate the first signal 2. Wherein the terminal device 3 can convert the sequence r 0 (i) The 6 elements in the sequence are processed by discrete Fourier transform to obtain the sequence f 0 (i) H, will sequence { f 0 (i) The 6 elements in the symbol map to even subcarriers (such as the subcarriers numbered 0,2,4,6,8,10 in fig. 2) to generate the third signal 1. Terminal device 4 may transmit sequence r 0 (i) Discrete Fourier transform processing is carried out on 6 elements in the sequence to obtain a sequence f 0 (i) H, will sequence { f 0 (i) The 6 elements in (f) are mapped to odd subcarriers (such as the subcarriers numbered 1,3,5,7,9,11 in fig. 2) to generate the third signal 2.
Thus, the number of sequences corresponding to the same first identifier u is increased from 1 to 2 (sequences { y }) u (i) And the sequence r u (i) }), when configuring one symbol for DMRS, the number of orthogonal DMRS signals is increased from 2 to 4, and it is not necessary to shorten the length of the sequence (the length is still 6), and the sequence { y } u (i) And the sequence r u (i) The cross correlation value between the sequences is small, and the generated signal can meet the low PAPR, so that the problem that a proper DMRS sequence cannot be obtained due to the fact that the sequence is short in the scheme of increasing the number of the comb-shaped frequency domain resource groups can be solved.
To convert the sequence f u (i) The 6 elements in the are mapped to 6 subcarriers with equal spacing, respectively, and u =0 is taken as an example. By assigning a sequence { f when two symbols are configured for DMRS 0 (i) Mapping the 6 elements in the symbol to even subcarriers of two symbols (e.g., the subcarrier numbered 0,2,4 …), respectively, can obtain a third signal 3 and a third signal 4; by combining the sequences f 0 (i) Mapping 6 elements in the symbol to odd subcarriers of two symbols (e.g., the subcarriers numbered 1,3,5 …), respectively, a third signal 5 and a third signal 6 can be obtained.
As such, when two symbols are configured for DMRS, a sequence { r) associated by one first identity u may be used u (i) Obtain 4 orthogonal DMRS multiplexes.
Further, when two symbols are configured for DMRS, the associated sequence { y) according to the first identity u u (i) Obtaining 4 DMRSs and sequences { r) associated according to the same first identifier u u (i) The obtained 4 DMRSs can increase the number of the DMRSs to 8 by code division, so that 8 orthogonal DMRS multiplexing can be supported.
Illustratively, two symbols are configured for DMRS, and the sequence y associating the same first identity u u (i) And the sequence r u (i) For example, the sequence y associating u =0 is assigned to cell 2 u (i) Assigned to terminal device 1-terminal device 4 in cell 2 for use, the sequence { r } associating u =0 u (i) And the DMRS signals are allocated to terminal devices 5-8 in the cell 2 for use, so that 8 DMRS signals can be obtained, which is not described in detail herein.
Thus, the sequences corresponding to the same first identifier uThe number is increased from 1 to 2 (sequence y) u (i) And the sequence r u (i) }), when two symbols are configured for DMRS, the number of orthogonal DMRS signals is increased from 4 to 8, and it is not necessary to shorten the length of the sequence (the length is still 6), and the sequence { y } u (i) And the sequence r u (i) The cross correlation value between the sequences is small, the generated signal can meet low PAPR, and the problem that a proper DMRS sequence cannot be obtained due to the fact that the sequence is short can be solved.
In some embodiments, the application passes through the sequence y u (i) Generating the first signal may satisfy the following first, second, and/or third performance requirements, which may apply to a wireless communication environment. Take the first signal as DMRS for example.
The first item: the first signal maintains a low PAPR. The first signal is transmitted along with the PUSCH, and the PAPR of the first signal does not exceed the PAPR of the PUSCH.
The second term is: for any value of u, according to the sequence r u (i) Obtained DMRS and according to the sequence y u (i) The obtained DMRS can ensure low interference, is favorable for improving the DMRS channel estimation performance, and correspondingly, the sequence { y } u (i) The autocorrelation value of is small, and the sequence y u (i) And the sequence r u (i) The cross-correlation value between is small.
Specifically, a wireless channel in a wireless communication system has a multipath effect, and a time domain signal f (t) reaches a receiving end through a plurality of paths (due to building occlusion and the like). Due to different arrival times, the receiving end receives superposition of a plurality of f (t) copy signals f ((t-d) modT), and d represents signal time delay.
Assuming that a receiving end receives the signal in a certain time window T and passes through three paths, and corresponding time delays are d0, d1, and d2, respectively, the received signal y satisfies the following relationship: y = A1 xf ((t-d) 0 )mod T)+A 2 ×f((t-d 1 )mod T)+A 3 ×f((t-d 2 ) mod T), where A1, A2, and A3 are the signal strengths for the three paths, respectively.
In order to be able to correctly estimate the transmitted signal (i.e., the time domain signal f (t)), the different replica signals f ((t-d) modT) need to be kept orthogonal to each other (correlation is 0) or the correlation value is small.
In terms of a sequence of transmitted signals, within a certain time delay range, the autocorrelation value of the signal sequence is ensured to be relatively small. For example, the time domain discrete sequence corresponding to the time domain signal f (t) is a (0), a (1) … a (M-1). In conjunction with fig. 4,M, the number of time sampling points corresponding to time window T is shown, for example, M may be 6, 12, 18, or 24, which is not limited to this. Assuming that 1 time-domain offset of 1 time sample point is generated through 1 path, i.e. the time-domain discrete sequence of the replica signal is a (M-1), a (0), a (1) … a (M-2), the correlation between the sequence a (0), a (1) … a (M-1) corresponding to the transmitted signal and the sequence a (M-1), a (0), a (1) … a (M-2) corresponding to the received signal can be expressed as the following formula (1), similar to the above formula (5-2). The smaller the value of the correlation, the smaller the interference.
In the above formula (1), k 1 The number of time samples representing the time-domain shift of the time-domain signal f (t), the mathematical symbol mod being modulo, the mathematical symbol x representing the conjugate.
Alternatively, the sequence a (0), a (1) … a (M-1) may be the sequence { y } in this application u (i)}。
The third item: different sets of sequences y u (i) And (if u e {0,1,. Said, 29}, there are 30 sets of sequences) may be used in different cells, and the cross-correlation values between different sets of sequences provided in the present application are relatively small, so as to ensure that the inter-cell DMRS signals have relatively low interference.
Exemplarily, it is assumed that the signal of the local cell received by the cell 1 is y = a 1 ×f((t-d 0 )mod T)+A 2 ×f((t-d 1 )mod T)+…+A n ×f((t-d n ) mod T) where the time delays are d, respectively 0 ，d 1 ,…,d n The signal intensity is respectively A 1 、A 2 、…、A n . The interference signal received by the cell 1 to the cell 2 is x = B 1 ×g((t-h 0 )mod T)+B 2 ×g((t-h 1 )mod T)+…+B m ×g((t-h m ) mod T), where the time delays are h, respectively 0 ，h 1 ,…,h m The signal intensity is respectively B 1 、B 2 、…、B m 。
In order to correctly estimate the transmitted signal, the mutual orthogonality (correlation is 0) or the cross-correlation value between different replica signals f ((t-d) modT) needs to be kept small, and meanwhile, the cross-correlation value between the interference signal g (t) and the replica signal after multipath is also ensured to be small, and the corresponding inter-signal interference is also small if the cross-correlation value is small.
In terms of transmitting signal sequences, it is required to ensure that the cross-correlation value of the signal sequences is relatively small within a certain time delay range. For example, the time domain discrete sequence corresponding to the signal f (T) of the cell 1 is a (0), a (1) … a (M-1), M represents the number of time samples corresponding to the time window T, and k is generated through multiple paths 1 Time-domain offset of time sample points, i.e. time-domain discrete sequence of replica signals is a (M-k) 1 ),…,a(M-1),a(0),a(1),…,a(M-k 1 -1). The time domain discrete sequence corresponding to the interference signal g (T) of the cell 2 is b (0), b (1) … b (M-1), M represents the number of time sampling points corresponding to the time window T, and k is generated through multiple paths 2 Time-domain offset of time sample points, i.e. time-domain discrete sequence of replica signals is b (M-k) 2 ),…,b(M-1),b(0),b(1),…,b(M-k 2 -1), then a (M-k) 1 ),…,a(M-1),a(0),a(1),…,a(M-k 1 -1) and b (M-k) 2 ),…,b(M-1),b(0),b(1),…,b(M-k 2 The cross-correlation of-1) can be expressed as equation (2), similar to equations (5-11) above. The smaller the cross-correlation value, the smaller the interference.
In the above formula (2), k 1 The number of time samples, k, representing the time domain offset produced by the cell 1 signal f (t) 1 Is an integer, k 2 The number of time samples, k, representing the time domain offset produced by the cell 2 signal f (t) 2 Is an integer, represents a conjugate.
S503, the network device receives the first signal.
Note that, regarding the sequence { y } u (i) For a specific implementation manner of this method, reference may be made to the above-mentioned S501, which is not described herein again.
Optionally, the network device receives signals on M subcarriers according to the positions of the predefined, or configured, N subcarriers in the subcarriers of the communication system. For example, M may be equal to 6.
In a possible design manner, in step S503, the network device receives the first signal, and may include the following step 1a or the following step 1b.
Step 1a, the network device acquires a first signal on 6 continuous subcarriers.
Step 1b, the network device acquires a first signal on 6 subcarriers with equal intervals.
S504, the network equipment acquires the sequence y u (i) 6 elements of (1).
In one possible design, in S504, the network device obtains the sequence y u (i) The 6 elements in (1) can comprise the following steps 2 and 3.
Step 2, the network equipment acquires the sequence g u (i) 6 elements of (1).
Optionally, the first signal consists of the sequence g u (i) Is mapped to 6 sub-carriers to generate g u (i) Is a sequence g u (i) The elements in (c).
Illustratively, the network device acquires the sequence g u (i) Element g in u (0)、g u (1)、g u (2)、g u (3)、g u (4) And g u (5)。
Step 3, the network equipment pair sequence { g u (i) Performing Inverse Discrete Fourier Transform (IDFT) on 6 elements in the sequence to obtain a sequence y u (i) 6 elements in the reed.
Illustratively, the sequence of pairs of network devices { g } u (i) Element g in u (0)、g u (1)、g u (2)、g u (3)、g u (4) And g u (5) Perform IDFT to obtain the sequence { y } u (i) Element y in (b) } u (0)、y u (1)、y u (2)、y u (3)、y u (4) And y u (5)。
In a specific implementation, the terminal device may use the configured sequence y after entering the network u (i) PUSCH is sent, and the network device uses the sequence y configured to the terminal device u (i) And receiving the PUSCH.
S505, the network device follows the sequence y u (i) The first signal is processed by 6 elements in.
Illustratively, the network devices may be according to the sequence y u (i) And 6 elements in the sequence and the first signal estimate the channel to obtain channel information.
For example, assume the sequence y u (i) Y, the first signal x, the channel information h, and the channel noise q (optional), where the first signal x = y × h + q, the network device receives the first signal x and obtains a sequence y according to the first signal x, and then obtains channel information h = (x-q)/y according to the sequence y and the first signal x, and the channel noise q (optional).
Based on the signal processing method shown in fig. 5, a sequence y including 6 elements is determined u (i) Is the sequence { y } u (i) Satisfy
According to the sequence y u (i) And generating and sending a first signal. Thus, satisfy
Sequence of (a) { y } u (i) The autocorrelation value of the signal is small, and the generated first signal can satisfy a low PAPR value, so that the accuracy of channel estimation can be improved.
Exemplarily, fig. 10 is a schematic flowchart of another signal processing method provided in the embodiment of the present application. The signal processing method may be applied to the communication between the network device and the terminal device shown in fig. 1 a. Fig. 10 includes a sequence of 12, 18, or 24 elements as an example for illustration.
As shown in fig. 10, the signal processing method includes the steps of:
s1001, the terminal equipment determines a sequence { y) comprising M elements u (i)}。
Illustratively, M is an integer greater than 1. For example, M may be equal to 12, 18, 24, etc., which is not limited in this application.
Exemplarily, y u (i) Is a sequence y u (i) Element in { C }, sequence { y } u (i) It satisfies the formula (10-1) or the formula (10-2).
y u (i)＝A×s(i)×j i (10-1)
y u (i)＝A×s(i)×j i mod 2 (10-2)
In the formula (10-1) or the formula (10-2), u is a first flag, and the first flag u is associated with the sequence { y } u (i) And f, corresponding to each other. For a specific implementation of the first identifier u, reference may be made to the foregoing S501, which is not described herein again.
Illustratively, in the above formula (10-1) or formula (10-2), i is an integer greater than or equal to 0 and less than or equal to M-1.
In the above formula (10-1) or formula (10-2), A is a non-zero complex number,
the mathematical notation mod is modulo, and the element s (i) satisfies the formula (10-3).
s(i)＝α×(1-2×b(i)) (10-3)
In the formula (10-3), i is an integer greater than or equal to 0 and less than or equal to M-1, α is a non-zero complex number, and elements b (i) constitute a sequence { b (i) }.
Alternatively, when in the formula (10-1), the
α＝1+j，
Equation (10-1) may be equivalent to
Alternatively, when in the formula (10-2), it satisfies
α＝1+j，
Equation (10-2) may be equivalent to
It should be noted that, during the calculation process, the value of α is not fixed. For example, in a specific implementation, the value of α is the same for all elements in the currently selected same sequence, and the value of α may be different for elements in different sequences.
Exemplarily, the element y u (i) Is obtained by subjecting the element b (i) to pi/2-BPSK modulation.
When M is different and u is different, the sequence { b (i) } is as follows.
For example, when M =12 and u =0, the sequence { b (i) } is one of the following sequences: {1,0,1,1,0,0,0,1,1,0,1,0},{1,0,0,1,0,1,0,1,0,0,1,1}. That is, when u =0, the sequence { b (i) } may be one of the one or more sequences described above.
Take the example that the sequence { b (i) } is {1,0,1,1,0,0,0,1,1,0,1,0} when u = 0. Assuming that i is an integer between 0 and 11, the element b (0) may be 1, the element b (1) may be 0, the element b (2) may be 1, the element b (3) may be 1, the element b (4) may be 0, the element b (5) may be 0, the element b (6) may be 0, the element b (7) may be 1, the element b (8) may be 1, the element b (9) may be 0, the element b (10) may be 1, and the element b (11) may be 0.
When M =12 and u =1, the sequence { b (i) } is one of the following sequences: {1,0,0,1,1,1,0,0,0,0,0,0}, {1,0,0,0,1,1,1,1,1,1,0,1}, {1,0,0,1,0,0,1,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =2, the sequence { b (i) } is one of the following sequences: {1,0,0,1,0,0,0,1,0,0,1,0}, {1,0,1,1,0,1,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
When M =12 and u =3, the sequence { b (i) } is one of the following sequences: {1,0,1,1,1,0,1,1,0,1,1,0}, {1,1,1,1,0,1,1,1,0,0,0,1}, {1,0,1,0,1,1,1,0,1,1,0,1}, {1,1,1,1,0,0,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =4, the sequence { b (i) } is one of the following sequences: {1,1,1,1,1,1,1,0,0,1,0,0}, {1,0,0,1,0,0,1,1,1,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =5, the sequence { b (i) } is one of the following sequences: {1,1,0,1,1,1,0,0,0,1,0,1}, {1,0,1,1,1,0,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =6, the sequence { b (i) } is one of the following sequences: {1,1,0,0,0,0,0,1,0,1,1,0}, {1,1,0,1,0,0,0,1,1,1,1,0}, {1,1,0,0,0,0,1,0,0,1,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =7, the sequence { b (i) } is one of the following sequences: {1,0,0,0,0,1,1,1,0,1,0,0}, {1,0,0,1,0,1,1,1,1,1,0,0}, {1,0,1,0,0,1,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =8, the sequence { b (i) } is one of the following sequences: {1,0,1,1,1,0,0,0,0,1,0,0}, {1,1,0,1,1,0,0,0,0,0,1,0}, {1,1,0,1,1,0,1,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =9, the sequence { b (i) } is one of the following sequences: {1,0,0,0,1,0,0,1,0,0,0,0}, {1,1,1,0,1,0,0,0,1,0,0,0}, {1,0,0,0,0,1,0,0,0,1,0,0}, {1,0,1,1,1,0,0,0,1,0,1,1}; and/or the presence of a gas in the atmosphere,
When M =12 and u =10, the sequence { b (i) } is the following sequence: {1,1,0,1,1,1,1,0,0,0,0,0}; and/or the presence of a gas in the gas,
When M＝12, and u＝11, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,0,0,0,0,0}，{1,1,1,1,0,1,1,0,0,0,0,0}，{1,1,1,0,1,1,1,0,0,0,0,0}，{1,1,0,1,0,1,0,1,1,0,0,0}，{1,1,1,1,1,1,0,1,1,0,0,0}，{1,1,1,1,1,0,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,1,1,1,0,0,0}，{1,1,1,0,0,0,0,0,0,1,0,0}，{1,0,1,0,0,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0}，{1,0,1,0,1,1,1,0,0,1,0,0}，{1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,0,0,0,0,1,1,1,0,0}，{1,0,0,1,0,1,0,1,1,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,0}，{1,1,0,1,1,1,0,1,1,0,1,0}，{1,1,0,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,0,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,1,0}，{1,1,0,0,0,1,0,1,0,1,1,0}，{1,1,0,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1}，{1,1,0,0,1,0,0,0,0,0,0,1}，{1,1,0,0,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1}，{1,0,1,1,0,1,0,1,0,0,0,1}，{1,1,1,1,0,1,1,1,0,0,0,1}，{1,0,1,1,1,1,1,1,0,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,1,0,1,0,1}，{1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1}，{1,0,0,0,1,0,1,0,1,1,0,1}，{1,0,1,0,1,1,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,1,1}，{1,1,1,0,1,1,1,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,0,0,0,1,1}，{1,0,0,1,0,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,0,1,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,1,1,1,1,1}; and/or,
When M＝12, and u＝12, the sequence {b (i)} is the following sequence: {1,0,1,0,0,1,1,1,0,1,0,0}; and/or,
When M＝12, and u＝13, the sequence {b (i)} is the following sequence: {1,1,1,0,0,0,0,0,1,1,0,1}; and/or,
When M＝12, and u＝14, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,0,0,1,0,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝12, and u＝15, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝16, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝17, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0}，{1,1,0,1,1,1,0,1,1,1,1,0}; and/or,
When M＝12, and u＝18, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,1,0,1}; and/or,
When M＝12, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,0,1,1,0,0,0}，{1,1,1,1,1,1,0,0,0,1,1,0}，{1,1,1,1,0,0,0,1,1,0,1,1}; and/or,
When M＝12, and u＝20, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,0,0,1,1,1,1,0}，{1,0,1,1,1,1,0,0,0,1,0,1}; and/or,
When M＝12, and u＝21, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,0,1,0,0,0}，{1,1,1,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,1,1,0}; and/or,
When M＝12, and u＝22, the sequence {b (i)} is the following sequence: {1,1,1,0,0,1,0,1,0,0,1,0}; and/or,
When M＝12, and u＝23, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,0,0,1,0,0,1,0}，{1,1,1,1,0,1,1,0,0,0,1,1}，{1,1,0,1,1,0,0,0,1,1,1,1}; and/or,
When M＝12, and u＝24, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,0,0,1,1,1,1,1,0}，{1,1,0,1,0,1,1,0,1,1,0,1}，{1,0,1,1,0,1,1,0,1,0,1,1}; and/or,
When M＝12, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,0,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0}，{1,0,1,0,1,1,1,0,0,1,0,0}; and/or,
When M＝12, and u＝26, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,1,1,0,0,0,0,0}，{1,1,0,1,1,1,1,0,0,0,0,0}，{1,1,1,0,0,0,0,1,0,0,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,0}，{1,0,0,1,1,1,1,1,0,0,0,0}，{1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,1,0,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,1,1,0,0,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,1,0,0,1,0,1,0,0}，{1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,0,1,0,1,1,1,0,1,0,0}，{1,0,1,0,0,1,0,1,1,1,0,0}，{1,0,0,0,0,1,1,1,1,1,0,0}，{1,1,0,1,1,0,1,0,0,0,1,0}，{1,1,0,1,0,1,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,0}，{1,0,0,1,1,1,0,1,0,0,1,0}，{1,0,0,1,0,1,1,1,0,0,1,0}，{1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,0,0,0,1,1,0}，{1,0,1,1,0,1,0,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,1,0}，{1,0,1,1,0,0,0,1,0,1,1,0}，{1,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,1,0,1,0,0,1,1,1,0}，{1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,0,1}，{1,0,1,1,1,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,0,0,0,0,1}，{1,0,1,0,1,1,0,1,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,0,0,1,0,1,0,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1}，{1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,0,0,1,0,1,0,0,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,1}，{1,0,0,0,1,0,1,1,0,1,0,1}，{1,1,1,0,0,0,0,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1}，{1,0,0,0,0,0,1,1,1,1,0,1}，{1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,1,1,0,0,0,0,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1}，{1,1,1,0,0,1,0,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,1,1}，{1,1,1,0,0,0,0,1,0,0,1,1}，{1,0,1,0,0,1,0,1,0,0,1,1}，{1,0,1,0,0,1,0,0,1,0,1,1}，{1,0,0,1,0,1,0,0,1,0,1,1}，{1,1,0,0,0,0,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,1}，{1,0,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,1,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1}，{1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,0,0,0,0,1,1,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,0,0,0,0,1,1,1,1}，{1,0,0,0,0,1,0,0,1,1,1,1}; and/or,
When M＝12, and u＝27, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,0,0,1,0,1,0}，{1,1,0,0,0,1,0,0,0,0,0,1}，{1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝12, and u＝28, the sequence {b (i)} is the following sequence: {1,1,0,1,0,0,0,1,1,0,1,0}; and/or,
When M＝12, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,1,0,0,1,1,1,1}; and/or,
When M＝18, and u＝0, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0}，{1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0}，{1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0}，{1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0}，{1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0}，{1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,0}，{1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1}，{1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1}，{1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1}，{1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1}，{1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1}，{1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,1}，{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1}，{1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}，{1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝18, and u＝1, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0}，{1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0}，{1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0}，{1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0}，{1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1}，{1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}; and/or,
When M＝18, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0}，{1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0}，{1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0}，{1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0}，{1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0}，{1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0}，{1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0}，{1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0}，{1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,1,0}，{1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1}，{1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1}，{1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1}，{1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1}，{1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1}，{1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1}，{1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,1}，{1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1}，{1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1}，{1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1}，{1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1}; and/or,
When M＝18, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0}，{1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0}，{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0}，{1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1}，{1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1}，{1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1}，{1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1}，{1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1}，{1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝4, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0}，{1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0}，{1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0}，{1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1}，{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1}，{1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1}，{1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1}，{1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1}; and/or,
When M＝18, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0}，{1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0}，{1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0}，{1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0}，{1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0}，{1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0}，{1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0}，{1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0}，{1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,1,1,0}，{1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1}，{1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1}，{1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1}，{1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝6, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0}，{1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0}，{1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0}，{1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0}，{1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0}，{1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0}，{1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,1}，{1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1}，{1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1}，{1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,1,1}; and/or,
When M＝18, and u＝7, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0}，{1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0}，{1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0}，{1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0}，{1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0}，{1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1}，{1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1}，{1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1}，{1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1}，{1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1}，{1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝8, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0}，{1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0}，{1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0}，{1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0}，{1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0}，{1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0}，{1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1}，{1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1}，{1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1}，{1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1}，{1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1,1}，{1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1}，{1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}，{1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1}，{1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝9, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0}，{1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0}，{1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0}，{1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0}，{1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0}，{1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0}，{1,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,1,1}，{1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝10, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0}，{1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0}，{1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0}，{1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0}，{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0}，{1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,1,0}，{1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1}，{1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1}，{1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1}，{1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝11, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0}，{1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0}，{1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0}，{1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0}，{1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0}，{1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0}，{1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0}，{1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0}，{1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0}，{1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,0}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1}，{1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1}，{1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1}，{1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1}，{1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1}，{1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝12, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0}，{1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0}，{1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0}，{1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0}，{1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0}，{1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0}，{1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0}，{1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0}，{1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0}，{1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0}，{1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0}，{1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1}，{1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1}，{1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,1}，{1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝13, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0}，{1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0}，{1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0}，{1,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0}，{1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0}，{1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0}，{1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0}，{1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0}，{1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0,1,0}，{1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0}，{1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0}，{1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0}，{1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0}，{1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1}，{1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,1}，{1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1}，{1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1}，{1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1}，{1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1}，{1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,1}，{1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝14, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0}，{1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0}，{1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0}，{1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1}，{1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1}，{1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1}，{1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1}，{1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1}，{1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1}，{1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1}，{1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,1}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1}，{1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1}，{1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,1,1,1}，{1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1}，{1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,1,1}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝15, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0}，{1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0}，{1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0}，{1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0}，{1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0}，{1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0}，{1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0}，{1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0}，{1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0}，{1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0}，{1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0}，{1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0}，{1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1}，{1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1}，{1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1}，{1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1}，{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1}，{1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1}，{1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1}，{1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0,1,1}，{1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝16, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0}，{1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0}，{1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0}，{1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0}，{1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0}，{1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0}，{1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0}，{1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,1,0,0}，{1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0}，{1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0}，{1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0}，{1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0}，{1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0}，{1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1}，{1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1}，{1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1}，{1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1}，{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,1,1}，{1,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1}，{1,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1}，{1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,1}，{1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,1}，{1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1}，{1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1}，{1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1}，{1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝17, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0}，{1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0}，{1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0}，{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0}，{1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0}，{1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0}，{1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0}，{1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0}，{1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0}，{1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0}，{1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1}，{1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1}，{1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1}，{1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1}，{1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1}，{1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1}，{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1}，{1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1}，{1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1}，{1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1}，{1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝18, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0}，{1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0}，{1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0}，{1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1}，{1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1}，{1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1}，{1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1}，{1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1}，{1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1}，{1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1}，{1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0}，{1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1}，{1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1}，{1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1}，{1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1}，{1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1}，{1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,0,1,0,1,1,1,1,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1}，{1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1}，{1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1}，{1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1}，{1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1}，{1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝20, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0}，{1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0}，{1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1}，{1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1}，{1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1}，{1,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1}，{1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1}，{1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝21, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0}，{1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0}，{1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0}，{1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0}，{1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,1,0,0}，{1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0}，{1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0}，{1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,1,0,0}，{1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0}，{1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0}，{1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0}，{1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}，{1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1}; and/or,
When M＝18, and u＝22, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0}，{1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0}，{1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0}，{1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0}，{1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0}，{1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0}，{1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0}，{1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0}，{1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1}，{1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1}，{1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1}，{1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1}; and/or,
When M＝18, and u＝23, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0}，{1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0}，{1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0}，{1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1}，{1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1}，{1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1}，{1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1}，{1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1}，{1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1}，{1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝24, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,1,0,1,1,0,1,1,1,1,0,1,1,1,1,0}，{1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1}，{1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1}，{1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0}，{1,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0}，{1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0}，{1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0}，{1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0}，{1,0,0,1,0,0,1,0,1,1,1,1,0,1,1,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0}，{1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1}，{1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1}，{1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1}，{1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1}，{1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1}，{1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1}，{1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝26, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0}，{1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0}，{1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0}，{1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0}，{1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0}，{1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1}，{1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝27, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0}，{1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0}，{1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0}，{1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0}，{1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0}，{1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0}，{1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1}，{1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1}，{1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1}，{1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝28, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0}，{1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0}，{1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0}，{1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0}，{1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1}，{1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1}，{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1}，{1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1}，{1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1}，{1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1}，{1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0}，{1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0}，{1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0}，{1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0}，{1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1}，{1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1}，{1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1}，{1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1}，{1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝0, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0}，{1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0}，{1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0}，{1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0}，{1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,1}，{1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1}，{1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝1, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0}，{1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0}，{1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0}，{1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0}，{1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0}，{1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0}，{1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0}，{1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0}，{1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1}，{1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1}，{1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1}，{1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1}，{1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1}，{1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1}; and/or,
When M＝24, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0}，{1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0}，{1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0}，{1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0}，{1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0}，{1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1}，{1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1}，{1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1}，{1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1}，{1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1}，{1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1}，{1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1}，{1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,1}，{1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1}，{1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1}，{1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0}，{1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0}，{1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0}，{1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0}，{1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0}，{1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0}，{1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,1,1,0}，{1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1}，{1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1}，{1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1}，{1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1}，{1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,1}，{1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1}，{1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1}，{1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1}，{1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1}，{1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,1}，{1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1}，{1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝4, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0}，{1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0}，{1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0}，{1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0}，{1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0}，{1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0}，{1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0}，{1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,1,0}，{1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1}，{1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,1,1,1}，{1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1}，{1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0}，{1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0}，{1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0}，{1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0}，{1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0}，{1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0}，{1,1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0}，{1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1}，{1,0,1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}，{1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1}，{1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1}，{1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1}; and/or,
When M＝24, and u＝6, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0}，{1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0}，{1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0}，{1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0}，{1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0}，{1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0}，{1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0}，{1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0}，{1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0}，{1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0}，{1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0}，{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0}，{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0}，{1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1}，{1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1}，{1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1}，{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1}，{1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,1}，{1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝7, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0}，{1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0}，{1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0}，{1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0}，{1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0}，{1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0}，{1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0}，{1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0}，{1,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1}，{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1}，{1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1}，{1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1}，{1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1}，{1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1}，{1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1}，{1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1}，{1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1}，{1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝8, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0}，{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0}，{1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0}，{1,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0}，{1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0}，{1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0}，{1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0}，{1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1}，{1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1}，{1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1}，{1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,1}，{1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1}，{1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1}，{1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1}，{1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1}，{1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1}; and/or,
When M＝24, and u＝9, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0}，{1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0}，{1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0}，{1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0}，{1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0}，{1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0}，{1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0}，{1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,1,0}，{1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1}，{1,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,1}，{1,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1}，{1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1}，{1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1}，{1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1}，{1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1}，{1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1}，{1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1}，{1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1}，{1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝10, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0}，{1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0}，{1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0}，{1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0}，{1,1,0,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0}，{1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0}，{1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0}，{1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0}，{1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0}，{1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0}，{1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0}，{1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1}，{1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1}，{1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1}，{1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1}，{1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1}，{1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1}，{1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1}，{1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1}，{1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1}; and/or,
When M＝24, and u＝11, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0}，{1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0}，{1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0}，{1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0}，{1,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0}，{1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0}，{1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0}，{1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0}，{1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0}，{1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1}，{1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1}，{1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1}，{1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝12, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0}，{1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0}，{1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0}，{1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0}，{1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1}，{1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1}，{1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1}，{1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1}，{1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1}，{1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1}，{1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1}，{1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1}，{1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,1,0,1}，{1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1}; and/or,
When M＝24, and u＝13, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0}，{1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0}，{1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0}，{1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0}，{1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0}，{1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0}，{1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0}，{1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0}，{1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0}，{1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0}，{1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0}，{1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,0}，{1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1}，{1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1}，{1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1}，{1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1}，{1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1}，{1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1}，{1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝14, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0}，{1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0}，{1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0}，{1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0}，{1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0}，{1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0}，{1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0}，{1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0}，{1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0}，{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0}，{1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1}，{1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1}，{1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝15, the sequence {b (i)} is one of the following sequences: {1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0}，{1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0}，{1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0}，{1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1}，{1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1}，{1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,1,1}，{1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝16, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0}，{1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0}，{1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0}，{1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0}，{1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0}，{1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0}，{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0}，{1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,0}，{1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0}，{1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,0}，{1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,0,1}，{1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1}，{1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,1}，{1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1}，{1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝17, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0}，{1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0}，{1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0}，{1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0}，{1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0}，{1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,0}，{1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0}，{1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1}，{1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1}，{1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1}，{1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1}，{1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1}，{1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1}，{1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1}，{1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝18, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0}，{1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0}，{1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0}，{1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0}，{1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0}，{1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0}，{1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0}，{1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0}，{1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0}，{1,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1}，{1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1}，{1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1}，{1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1}，{1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1}，{1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1}，{1,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1}，{1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,1}，{1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0}，{1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0}，{1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0}，{1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0}，{1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0}，{1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0}，{1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0}，{1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0}，{1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0}，{1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1}，{1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1}，{1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1}，{1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1}，{1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1}，{1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,1}，{1,1,1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1}，{1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝20, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0}；1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0}，{1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0}，{1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0}，{1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0}，{1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1}，{1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1}，{1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1}，{1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1}，{1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,1}，{1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1}，{1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝21, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0}，{1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0}，{1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0}，{1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0}，{1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0}，{1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0}，{1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0}，{1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0}，{1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1}，{1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1}，{1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1}，{1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1}，{1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝22, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0}，{1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0}，{1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0}，{1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1}，{1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1}，{1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1}，{1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1}，{1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1}，{1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1}，{1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1}，{1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,1}，{1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1}; and/or,
When M＝24, and u＝23, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0}，{1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0}，{1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0}，{1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0}，{1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0}，{1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0}，{1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1}，{1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1}，{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1}，{1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,1}，{1,1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1}，{1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,1}，{1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1}，{1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1}，{1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝24, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0}，{1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0}，{1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0}，{1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0}，{1,1,1,0,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0}，{1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0}，{1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0}，{1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0}，{1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0}，{1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0}，{1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0}，{1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0}，{1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0}，{1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1}，{1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1}，{1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1}，{1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1}，{1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1}，{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1}，{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1}; and/or,
When M＝24, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0}，{1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0}，{1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0}，{1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0}，{1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0}，{1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0}，{1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0}，{1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0}，{1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0}，{1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0}，{1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0}，{1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0}，{1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0}，{1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1}，{1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1}，{1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1}，{1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1}，{1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,1}，{1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,1}，{1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝26, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0}，{1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0}，{1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0}，{1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0}，{1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0}，{1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0}，{1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0}，{1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,0}，{1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0}，{1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0}，{1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0}，{1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1}，{1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1}，{1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1}，{1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1}，{1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1}，{1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1}，{1,1,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1}，{1,0,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1}，{1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1}，{1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1}，{1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1}，{1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1}，{1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝27, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0}，{1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0}，{1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0}，{1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,1,0}，{1,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0}，{1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1}，{1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1}，{1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1}，{1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1}，{1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1}，{1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝28, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0}，{1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0}，{1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0}，{1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0}，{1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0}，{1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1}，{1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1}，{1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1}，{1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1}，{1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1}，{1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1}，{1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1}，{1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1}，{1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1}，{1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1}，{1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1}，{1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1}，{1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0}，{1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0}，{1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0}，{1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0}，{1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0}，{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1}，{1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1}，{1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1}，{1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1}，{1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1}，{1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,1,1}。
It should be noted that the sequence of 6 elements y u (i) Similarly, for sequences containing 12, 18, or 24 elements { y } u (i) The sequence y is not limited in the embodiments of the present application u (i) The determination method.
For example, the sequence y u (i) It can be pre-stored or configured in the terminal device.
As another example, the sequence y u (i) May be generated according to a certain rule. Sequence y, for example M =12, u =0 0 (i) Can be according to y u (i)＝A×s(i)×j i Or y u (i)＝A×s(i)×j i mod 2 Generated, wherein the { b (i) } sequence may be one of the sequences when u =0 described above.
Taking M =12 as an example, when u =0, { b (i) } = {1,0,1,1,0,0,0,1,1,0,1,0}, substituting { b (i) } = {1,0,1,1,0,0,0,1,1,0,1,0} into the above equation (10-1), equation (10-2), an equivalent equation of equation (10-1), or an equivalent equation of equation (10-2), where a is a non-zero complex number, yields { y = { y (x) } where a is a non-zero complex number 0 (i)} 12.1 . Wherein, { y 0 (i)} 12.1 Sequence 1 obtained when M =12 and u =0 is indicated. When u =0, { b (i) } = {1,0,0,1,0,1,0,1,0,0,1,1}, substituting { b (i) } = {1,0,0,1,0,1,0,1,0,0,1,1} into the above equation (10-1), equation (10-2), an equivalent equation of equation (10-1), or an equivalent equation of equation (10-2), where a is a non-zero complex number, yields { y (y) } where a is a non-zero complex number 0 (i)} 12.2 . Wherein, { y 0 (i)} 12.2 Sequence 2 obtained when M =12 and u =0 is shown.
Above { y 0 (i)} 12.1 And { y) above 0 (i)} 12.2 The autocorrelation value, cross-correlation value, PAPR value between a plurality of signals obtained from a plurality of sequences differing by a constant are correspondingly the same, that is, according to { y } 0 (i)} 6.1 The obtained signal is compared with the signal according to { y 0 (i)} 12.2 The obtained autocorrelation value, cross-correlation value and PAPR value between the signals are correspondingly the same.
Similarly, when M =12 and u =1, { y ] obtained from the above-described plurality of sequences, respectively 1 (i) Obtained { y } 1 (i) Are different by a constant, according to a plurality y 1 (i) And obtaining a plurality of signals with the same auto-correlation value, cross-correlation value and PAPR value. Similarly, for M =12 and u =1 to u =29, M =18 and u e {0,1, ·,29}, or M =24 and u ∈ {0,1.., 29}, which is not described in detail herein.
It should be noted that the first mark u only serves as a mark, and in this embodiment, 30 possible sets of { ω (i) } sequences are shown, so as to determine 30 possible sets of { y (y) } sequences u (i) And f, in this case, the first identifier u may be a group identifier, and the value of u may be 0 to 29, and it may be understood that u may also be any 30 different numerical values for identifying the 30 groups of sequences.
Therefore, although the embodiment of the present application shows that when M =12 and u =0, the sequence { b (i) } is one of the following sequences: {1,0,1,1,0,0,0,1,1,0,1,0},{1,0,0,1,0,1,0,1,0,0,1,1}. That is, when M =12 and u =0, the sequence { ω (i) } may be one of the one or more sequences described above. It is to be understood that the value of u as the identification at this time may not be 0 but other numerical value that can be distinguished from the other 29 group identifications.
The sequence { b (i) } provided by the embodiment of the application can enable the sequence { y } u (i) The autocorrelation value of y is small, so that y can be made according to the sequence u (i) The generated second signal keeps the low PAPR, thereby improving the accuracy of channel estimation.
Illustratively, for u e {0,1,.., 29}, and M =12, 18, or 24, the sequence { b (i) } is via
Corresponding sequence after modulation y u (i) After applying the frequency domain filter, i.e. after DFT, the filter coefficient is [0.28,1,0.28 ]]When it is, the PAPR is small.
Alternatively, the sequence { y } u (i) Cyclic shift autocorrelation X of 1 The above formula (5-2) can be satisfied.
Sequence y u (i) The autocorrelation value of the sequence { b (i) } is relatively small, so that it can be ensured that the interference between DMRS signals in a cell is relatively low, and for u e {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29} and M =12, the sequence { b (i) } is subjected to
After modulationCorresponding sequence y u (i) The autocorrelation of the } satisfies: x 1 =0, wherein the maximum time-domain shift time window T '=2, i.e. the delay due to multipath does not exceed the maximum time-domain shift time window T' =2,k 1 ∈[1,T']. For u e {11,26} and M =12, the sequence { b (i) } is via
Corresponding sequence y after modulation u (i) The autocorrelation of the } satisfies:
where the maximum time domain shift time window T' =2 (as shown in fig. 4), k 1 ∈[1,T']。
For u e {0,1, ·,29}, M =18, the sequence { b (i) } is via
Corresponding sequence after modulation y u (i) The autocorrelation of the satisfies:
for u e {0,1, ·,29}, M =24, the sequence { b (i) } is via
Corresponding sequence after modulation y u (i) The autocorrelation of the satisfies: x 1 =0, wherein the maximum time-domain shift time window T '=3, i.e. the delay due to multipath does not exceed the maximum time-domain shift time window T' =3,k 1 ∈[1,T']。
S1002, the terminal equipment is according to the sequence y u (i) And generating a second signal and sending the second signal to the network equipment.
It should be noted that, as for a specific implementation manner of the second signal, reference may be made to the first signal in S502, which is not described herein again.
The terminal device follows a sequence y u (i) Generating a second signal, so that the terminal device can determine the value of the first marker u before generating the second signalTo thereby determine the sequence y u (i)}。
In some embodiments, the value of the first identifier u may be configured by the network device for the terminal device. The detailed implementation manner can refer to the corresponding explanation in S502 above.
In other embodiments, the value of the first identifier u may be determined by the terminal device based on the identifier of the reference signal and/or the time unit. In this way, the terminal device may determine the value of the first identifier u, and thus determine the sequence { y } u (i) According to the sequence y u (i) Generates a second signal. The detailed implementation manner can refer to the corresponding explanation in S502 above.
In one possible design, in step S1002, the terminal device performs the sequence { y } u (i) Generating a second signal and sending the second signal to the network device, which may include S1101, S1102a, S1103 and S1104 as shown in fig. 11, or S1101, S1102b, S1103 and S1104 as shown in fig. 11.
S1101, terminal device pair sequence { y u (i) M elements in the sequence are subjected to discrete Fourier transform processing to obtain a sequence g u (i)}。
For the implementation of S1101, reference may be made to S601 and equations (5-9) described above, and details are not repeated here.
Illustratively, the sequence y u (i) Obtaining { g of frequency domain through DFT u (i) The schematic diagrams of fig. 7a, 7b and 7c can be referred to.
In some embodiments, the terminal device pair sequence y u (i) DFT processing is carried out to obtain a sequence g u (i) In the process of (h), no filter may be used, as shown in fig. 7a, e.g., M may be equal to 12, 18, or 24.
In other embodiments, the terminal device may be in pair sequence y u (i) Before discrete Fourier transform processing is performed on M elements in the sequence { y } u (i) And filtering is carried out. As shown in fig. 7b, for example, M may be equal to 12, 18, or 24.
In still other embodiments, the terminal device may be in pair sequence y u (i) After discrete Fourier transform processing of M elements in the sequence { y } u (i) And filtering is carried out. As shown in fig. 7c, for example, M may be equal to 12, 18, or 24.
S1102a, the terminal equipment sends the sequence g u (i) And mapping M elements in the symbol to continuous M subcarriers respectively to obtain a second frequency domain signal containing the M elements.
Illustratively, the sequence g u (i) The diagrams for mapping to subcarriers are shown in fig. 8a, fig. 8b and fig. 9.
The specific implementation manner of S1102a is similar to that of S602a described above, and the main difference is that M may be equal to 12, 18, or 24, which is not described herein again.
S1102b, the terminal device sends the sequence g u (i) And mapping M elements in the symbol to M subcarriers with equal intervals respectively to obtain a second frequency domain signal containing the M elements.
The specific implementation manner of S1102b is similar to that of S602b, and the main difference is that M may be equal to 12, 18, or 24, which is not described herein again.
S1103, the terminal device generates a second signal from the second frequency domain signal containing M elements.
Illustratively, the terminal device performs IFFT on a first frequency domain signal containing M elements to obtain a corresponding time domain signal, and adds a cyclic prefix to the time domain signal to generate a second signal.
For example, a time domain signal obtained by the terminal device after performing IFFT on the generated frequency domain signal of M points may be one OFDM symbol.
To convert the sequence g u (i) M elements in the } are mapped to M subcarriers at equal intervals, respectively, and u =0 is taken as an example. By assigning a sequence g when configuring one symbol for DMRS 0 (i) M elements in (a) are mapped to even subcarriers (e.g., the subcarriers numbered 0,2,4 … in fig. 2 (a)), respectively, and a second signal 1 can be obtained; by combining the sequences g 0 (i) The M elements in (a) are mapped to odd subcarriers (e.g., the subcarriers numbered 1,3,5 … in fig. 2), respectively, and the second signal 2 can be obtained. As such, when one symbol is configured for DMRS, it may pass through the sequence { y u (i) Obtain 2 orthogonal DMRS multiplexes.
In order of generalColumn { g u (i) M elements in the } are mapped to 12 subcarriers at equal intervals, respectively, and u =0 is taken as an example. By assigning a sequence g when two symbols are configured for DMRS 0 (i) M elements in the symbol are mapped to even subcarriers of two symbols (for example, a subcarrier numbered 0,2,4 … corresponding to symbol 0 in (b) of fig. 2 and a subcarrier numbered 0,2,4 … corresponding to symbol 1 in (b) of fig. 2), and then a time domain orthogonal code of (1,1) or (1, -1) is superimposed on the two symbols, so as to obtain a second signal 3 and a second signal 4, respectively; by combining the sequences g 0 (i) The M elements in the symbol are mapped to odd subcarriers of two symbols (for example, a subcarrier numbered 1,3,5 … corresponding to symbol 0 in (b) of fig. 2 and a subcarrier numbered 1,3,5 … corresponding to symbol 1 in (b) of fig. 2), and then a time domain orthogonal code of (1,1) or (1, -1) is superimposed on the two symbols to obtain a second signal 5 and a second signal 6, respectively. As such, when two symbols are configured for DMRS, the sequences y may be passed u (i) Obtain 4 orthogonal DMRS multiplexes.
S1104, the terminal device transmits a second signal.
Optionally, the terminal device sends the bearer sequence { g over the M subcarriers u (i) } of the first signal.
In some embodiments, the terminal device may transmit the bearer sequence g on one OFDM symbol u (i) Can be transmitted over multiple OFDM symbols, or can be transmitted over multiple OFDM symbols, carrying the sequence g u (i) } of the first signal.
Optionally, the second signal is a signal for carrying communication information.
In one possible design, the sequence y u (i) And the sequence r u (i) Correspond to, sequence r u (i) Consists of M elements, r u (i) Is a sequence { r u (i) Element in { C }, sequence { r } u (i) It satisfies the formula (10-4) or the formula (10-5).
r u (i)＝B×t(i)×j i (10-4)
r u (i)＝B×t(i)×j i mod 2 (10-5)
In the above formula (10-4) or formula (10-5), B is a non-zero complex number, and the element t (i) satisfies formula (10-6).
t(i)＝β×(1-2×d(i)) (10-6)
In the above equation (10-6), β is a non-zero complex number, and the elements d (i) constitute a sequence { d (i) }.
That is, the sequence { y } 0 (i) And the sequence r 0 (i) Corresponding, sequence y 1 (i) And the sequence r 1 (i) This is not repeated herein.
For a specific implementation of u, reference may be made to the above S501, which is not described herein again.
Alternatively, when in the formula (10-4), the
β＝1+j，
Equation (10-4) may be equivalent to
Alternatively, when in the formula (10-5), the
β＝1+j，
Equation (10-5) may be equivalent to
Alternatively, when M =12 and u =0, the sequence { d (i) } is: {0,0,0,0,0,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =1, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =2, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =3, the sequence { d (i) } is: {1,1,0,1,1,0,1,0,1,0,0,0}; and/or the presence of a gas in the atmosphere,
when M =12 and u =4, the sequence { d (i) } is: {1,1,0,0,1,0,1,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =5, the sequence { d (i) } is: {1,0,1,1,0,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =6, the sequence { d (i) } is: {0,0,0,1,0,0,1,0,0,0,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =7, the sequence { d (i) } is: {0,1,0,0,0,1,0,0,1,0,0,0}; and/or the presence of a gas in the gas,
When M =12 and u =8, the sequence { d (i) } is: {1,0,1,1,1,1,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =9, the sequence { d (i) } is: {1,0,1,1,0,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =10, the sequence { d (i) } is: {1,0,1,1,0,1,0,0,0,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =11, the sequence { d (i) } is: {1,0,1,0,0,1,0,0,1,0,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =12, the sequence { d (i) } is: {1,1,0,0,0,0,0,1,1,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =13, the sequence { d (i) } is: {0,1,0,0,0,1,1,0,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =14, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =15, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,1,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =16, the sequence { d (i) } is: {0,0,1,0,0,1,0,0,0,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =17, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,1,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =18, the sequence { d (i) } is: {0,0,0,1,1,1,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =19, the sequence { d (i) } is: {1,0,0,0,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =20, the sequence { d (i) } is: {0,1,1,1,1,0,1,0,1,1,1,1}; and/or the presence of a gas in the gas,
When M =12 and u =21, the sequence { d (i) } is: {0,1,1,1,0,1,0,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =22, the sequence { d (i) } is: {0,1,1,1,1,1,0,0,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =23, the sequence { d (i) } is: {0,1,1,1,0,0,0,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =24, the sequence { d (i) } is: {0,0,1,1,1,1,1,1,1,1,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =25, the sequence { d (i) } is: {0,1,1,1,0,0,1,1,0,1,0,0}; and/or the presence of a gas in the atmosphere,
when M =12 and u =26, the sequence { d (i) } is: {0,1,1,1,0,1,1,1,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =27, the sequence { d (i) } is: {0,1,1,1,1,1,1,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =28, the sequence { d (i) } is: {0,1,1,1,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =29, the sequence { d (i) } is: {0,1,1,1,0,1,1,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =0, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =1, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =2, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1}; and/or the presence of a gas in the gas,
When M =18, and u =3, the sequence { d (i) } is: {0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =4, the sequence { d (i) } is: {1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =5, the sequence { d (i) } is: {0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =6, the sequence { d (i) } is: {0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =7, the sequence { d (i) } is: {0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =8, the sequence { d (i) } is: {0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =9, the sequence { d (i) } is: {1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =10, the sequence { d (i) } is: {1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18 and u =11, the sequence { d (i) } is: {1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =12, the sequence { d (i) } is: {1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =13, the sequence { d (i) } is: {1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0}; and/or the presence of a gas in the gas,
When M =18, and u =14, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =15, the sequence { d (i) } is: {0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =16, the sequence { d (i) } is: {0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =17, the sequence { d (i) } is: {0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =18, the sequence { d (i) } is: {0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the atmosphere,
when M =18, and u =19, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =20, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =18 and u =21, the sequence { d (i) } is: {1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =22, the sequence { d (i) } is: {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =23, the sequence { d (i) } is: {0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =24, the sequence { d (i) } is: {1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
When M =18, and u =25, the sequence { d (i) } is: {1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =26, the sequence { d (i) } is: {0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =27, the sequence { d (i) } is: {0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =28, the sequence { d (i) } is: {0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =29, the sequence { d (i) } is: {0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =24, and u =0, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =1, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =24 and u =2, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =3, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =4, the sequence { d (i) } is: {1,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =5, the sequence { d (i) } is: {1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
When M =24 and u =6, the sequence { d (i) } is: {0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =7, the sequence { d (i) } is: {1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =8, the sequence { d (i) } is: {0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =9, the sequence { d (i) } is: {0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =10, the sequence { d (i) } is: {1,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =11, the sequence { d (i) } is: {0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0}; and/or the presence of a gas in the atmosphere,
when M =24, and u =12, the sequence { d (i) } is: {1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =13, the sequence { d (i) } is: {1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =14, the sequence { d (i) } is: {1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =15, the sequence { d (i) } is: {1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1}; and/or the presence of a gas in the gas,
When M =24 and u =16, the sequence { d (i) } is: {0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =17, the sequence { d (i) } is: {1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =18, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =19, the sequence { d (i) } is: {1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =20, the sequence { d (i) } is: {0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =21, the sequence { d (i) } is: {0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =22, the sequence { d (i) } is: {1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =23, the sequence { d (i) } is: {1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =24, the sequence { d (i) } is: {1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =24 and u =25, the sequence { d (i) } is: {1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
When M =24 and u =26, the sequence { d (i) } is: {0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =24 and u =27, the sequence { d (i) } is: {0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =28, the sequence { d (i) } is: {0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =29, the sequence { d (i) } is: {0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,1}.
In the case where M is equal to 12, when u =0, the sequence { b (i) } is one of one or more sequences: {1,0,1,1,0,0,0,1,1,0,1,0},{1,0,0,1,0,1,0,1,0,0,1,1}. The sequence { d (i) } is: {0,0,0,0,0,0,1,1,0,1,1,0}. For example, when u =0, the sequence { b (i) } = {1,0,1,1,0,0,0,1,1,0,1,0} corresponds to the sequence { d (i) } = {0,0,0,0,0,0,1,1,0,1,1,0}.
Similarly, the sequence { b (i) } when M =12 and u =1 corresponds to the sequence { d (i) } when M =12 and u =1, and similarly, the sequence { b (i) } when u ∈ {2,.., 29} corresponds to the sequence { d (i) } when u ∈ {2,...,29} respectively, when M =12, which is not described in detail.
Similarly, when M =18, the sequence { b (i) } when u ∈ {0,1.., 29} corresponds to the sequence { d (i) } when u ∈ {0,1., 29} respectively, which is not described in detail herein.
Similarly, when M =24, the sequence { b (i) } when u ∈ {0,1.., 29} corresponds to the sequence { d (i) } when u ∈ {0,1., 29} respectively, which is not described in detail herein.
Similar to the method shown in FIG. 5, the sequence y u (i) And the sequence r u (i) The corresponding relation of } can be understood as:
the first identifier u may be a group identifier, for example, u =0 and M = 12. When the group identity u =0, m =12, the sequence { b (i) } = {1,0,1,1,0,0,0,1,1,0,1,0}, the sequence { d (i) } = {0,0,0,0,0,0,1,1,0,1,1,0}, the sequence { y (i) } = {1,0,1,1,0,0,0,1,1,0,1,0} resulting from the sequence { b (i) } = {1,0,1,1,0,0,0,1,1,0,1,0}, respectively 0 (i) Get the sequence { r } from the sequence { d (i) } = {0,0,0,0,0,0,1,1,0,1,1,0} 0 (i) }, sequence { y 0 (i) And the sequence r 0 (i) Are all sequences in sequence set 0. I.e. the sequence y for the same group identity u u (i) And the sequence r u (i) Are in the same sequence group. It is understood that the first identifier u only serves as an identifier, and in this exemplary context of this paragraph, it is only illustrated by the group identifier u =0, when { b (i) } = {1,0,1,1,0,0,0,1,1,0,1,0}, the sequence { d (i) } = {0,0,0,0,0,0,1,1,0,1,1,0}, and the corresponding sequence { y (i) } is the corresponding sequence {0,0,0,0,0,0,1,1,0,1,1,0}, respectively u (i) And the sequence r u (i) In the same sequence group, or the sequences y u (i) And the sequence r u (i) And u is corresponding to the value of u, and in this case, u may take any value different from 0, as long as it is used as an identifier. For M =18 and M =24, detailed description thereof is omitted.
The sequences { b (i) } and corresponding sequences { d (i) } provided herein may be such that the sequence { y } u (i) And the sequence r u (i) The cross-correlation value between is small.
For u ∈ {0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29} and M =12, the sequence { b (i) } is subject to the aforementioned autocorrelation
Corresponding sequence after modulation y u (i) Satisfy the sequence r simultaneously u (i) Cross-correlation: x 2 =0, wherein the maximum time domain shift time window T' =2,k 1 ∈[0,T']，k 2 ∈[0,T']. For u e {11,26} and M =12, at fullGiven the above-mentioned autocorrelation, the sequence { b (i) } is passed through
Corresponding sequence after modulation y u (i) Satisfy the sequence r simultaneously u (i) Cross-correlation:
wherein, the maximum time domain shift time window T' =2,k 1 ∈[0,T']，k 2 ∈[0,T']。
For u e {0,1,.., 29}, M =18, the sequence { b (i) } is subject to the aforementioned autocorrelation
Corresponding sequence y after modulation u (i) Satisfy the sequence r simultaneously u (i) Cross-correlation:
wherein, the maximum time domain shift time window T' =3,k 1 ∈[0,T']，k 2 ∈[0,T']。
TABLE 2
For u e {0,1,.., 29}, M =24, the sequence { b (i) } is subject to the aforementioned autocorrelation
Corresponding sequence y after modulation u (i) Satisfy the sequence r simultaneously u (i) Cross-correlation: x 2 =0, wherein the maximum time domain shift time window T' =3,k 1 ∈[0,T']，k 2 ∈[0,T']。
Optionally, the orderColumn { y u (i) And the sequence r u (i) The cyclic shift cross-correlation X of 2 The above formula (5-11) can be satisfied.
Alternatively, the sequence { y } u (i) Cyclic shift autocorrelation X of 1 The above formula (5-2) can be satisfied.
Illustratively, for table 2, M =12, i =0 to 11, u ∈ {0,1,.. Multidot., 29}, the optimal sequences { b (i) },30 sets of sequences have a cross-correlation of less than 0.85, so that the inter-cell interference performance is relatively small.
With reference to table 2, it is assumed that {1,0,1,1,0,0,0,1,1,0,1,0} is one of the sequences shown in S1001 when M =12 and u =0, and so on, {1,0,0,1,1,1,0,0,0,0,0,0} is one of the sequences shown in S1001 when M =12 and u =1, and {1,0,1,1,0,1,0,1,1,0,1,1} is one of the sequences shown in S1001 when M =12 and u =2, which are not described in detail herein.
Illustratively, for table 3, M =18, i =0 to 11, u ∈ {0,1,.. Multidot., 29}, the optimal sequences { b (i) },30 sets of sequences have a cross-correlation of less than 0.57, so that the inter-cell interference performance is relatively small.
TABLE 3
With reference to table 3, it is assumed that {1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1} is one of the sequences shown in S1001 when M =18 and u =0, and so on, {1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0} is one of the sequences shown in S1001 when M =18 and u =1, and {1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1} is one of the sequences shown in S1001 when M =18 and u =2, which are not described in detail herein.
Illustratively, for table 4, M =24, i =0 to 11, u ∈ {0,1,.. Multidot., 29}, the optimal sequences { b (i) },30 sets of sequences have a cross-correlation of less than 0.6, so that the inter-cell interference performance is relatively small.
TABLE 4
With reference to table 4, it is assumed that {1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0} is one of the sequences shown in S1001 when M =24 and u =0, and so on, {1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1} is one of the sequences shown in S1001 when M =24 and u =1, and {1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1} is one of the sequences shown in S1001 when M =24 and u =2, which are not described in detail herein.
According to the sequence y u (i) Similarly, in a possible design manner, the signal processing method shown in fig. 10 may further include: terminal equipment according to the sequence r u (i) And fourthly, generating a fourth signal and sending the fourth signal to the network equipment.
Optionally, the terminal device follows the sequence r u (i) The specific implementation manner of generating and sending the fourth signal to the network device is similar to that of S1101, S1102a, S1103 and S1104, or S1101, S1102b, S1103 and S1104 described above.
Similarly, the terminal device may pair the sequences r u (i) Discrete Fourier transform processing is carried out on M elements in the sequence to obtain a sequence f u (i) }; will sequence { r u (i) Mapping M elements in the sequence onto continuous M subcarriers respectively to obtain a fourth frequency domain signal containing M elements, or mapping the sequence { r } u (i) Mapping M elements in the symbol to M subcarriers with equal intervals respectively to obtain a fourth frequency domain signal containing M elements; and generating a fourth signal according to the fourth frequency domain signal containing M elements, and transmitting the fourth signal through radio frequency. Reference may be made in particular to S1101, S1102a, S1102b, S1103 and S1104, whereAnd will not be described in detail.
And the sequence { y } at M =6 in the method shown in fig. 5 u (i) And the sequence r u (i) Similarly, when M =12, 18, or 24, the base sequence number v can be used to distinguish sequences y in the same sequence group u (i) And the sequence r u (i) And (4) dividing. Taking M =12 and u =0 as an example, sequence set 0 includes the sequence { y } 0 (i) And { r } 0 (i) H, for the sequence y 0 (i) Performing a discrete Fourier transform to obtain a sequence g 0 (i) Can be applied to the sequence r 0 (i) Performing a discrete Fourier transform to obtain a sequence f 0 (i) H, sequence g 0 (i) The sum of the sequences f 0 (i) Is a base sequence belonging to the same base sequence group 0, and can be the sequence { g } 0 (i) The sum of the sequences f 0 (i) V =1 and v =0 are assigned to base sequence numbers, respectively. Thus, the sequence { g 0 (i) And the sequence f 0 (i) Can be expressed as g 0,1 (i) And { f }and 0,0 (i)}。
To convert the sequence f u (i) M elements in the } are mapped to M subcarriers at equal intervals, respectively, and u =0 is taken as an example. By assigning a sequence { f when configuring one symbol for DMRS 0 (i) M elements in the symbol are mapped to even subcarriers (for example, the subcarrier numbered 0,2,4 …), respectively, and a fourth signal 1 can be obtained; by combining the sequences f 0 (i) The M elements in (f) are mapped to odd subcarriers (e.g., the subcarrier numbered 1,3,5 …), respectively, and a fourth signal 2 can be obtained.
As such, when one symbol is configured for DMRS, a sequence { r) associated by one first identity u may be used u (i) Obtain 2 orthogonal DMRS multiplexes.
Further, when one symbol is configured for the DMRS, the associated sequence { y) according to the first identifier u u (i) Obtaining 2 DMRSs and sequences { r) associated with the same first identifier u u (i) The obtained 2 DMRSs can be increased in number to 4 by code division, so that 4 orthogonal DMRS multiplexing can be supported.
Exemplarily, a sequence { y ] associated with the same first identity u is configured for DMRS with M =12 by one symbol u (i) And the sequence r u (i) Assigned to cell 1 asFor example, when M =12, u =0 is associated with the sequence { y } u (i) Assigned to terminal device 1-terminal device 2 in cell 1 for use, the sequence r associating u =0 u (i) Assigned to terminal devices 3-4 in cell 1, 4 orthogonal DMRS signals can be obtained. The specific implementation is the same as in the method shown in FIG. 5, described above, { y u (i) Comprises 6 elements, the sequence y associating u =0 u (i) Assigned to terminal device 1-terminal device 2 in cell 1 for use, the sequence r associating u =0 u (i) The implementation manner allocated to terminal device 3-terminal device 4 in cell 1 is similar, and is not described herein again. M =18, or 24, similar to M =12, and will not be described herein.
Thus, M =12, 18, or 24, the number of sequences corresponding to the same first flag u is increased from 1 to 2 (sequences { y } u (i) And the sequence r u (i) }), when configuring one symbol for DMRS, the number of orthogonal DMRS signals is increased from 2 to 4, and it is not necessary to shorten the length of the sequence (the length is still 12, 18, or 24), the sequence { y } u (i) And the sequence r u (i) The cross correlation value between the sequences is small, and the generated signal can meet the low PAPR, so that the problem that a proper DMRS sequence cannot be obtained due to the fact that the sequence is shortened in the scheme of increasing the number of the comb-shaped frequency domain resource groups can be solved.
To convert the sequence f u (i) M elements in the } are mapped to M subcarriers at equal intervals, respectively, and u =0 is taken as an example. By assigning a sequence { f when two symbols are configured for DMRS 0 (i) M elements in the symbol map to even subcarriers of two symbols (e.g., the subcarriers numbered 0,2,4 …), respectively, and a fourth signal 3 and a fourth signal 4 can be obtained; by combining the sequences f 0 (i) The M elements in (i) map to odd subcarriers of two symbols (e.g., the subcarriers numbered 1,3,5 …), respectively, and a fourth signal 5 and a fourth signal 6 can be obtained.
As such, when two symbols are configured for DMRS, a sequence { r) associated by one first identity u may be used u (i) Obtain 4 orthogonal DMRS multiplexes.
Further, when two symbols are configured for DMRS, the associated sequence { y) according to the first identity u u (i) Obtaining 4 DMRSs and sequences { r) associated according to the same first identifier u u (i) The obtained 4 DMRSs can increase the number of DMRSs to 8 by code division, and can support 8 orthogonal DMRS multiplexing.
Exemplarily, two symbols are configured for DMRS with M =12, and the sequence { y) associating the same first identity u u (i) And the sequence r u (i) For example, the sequence y associating u =0 is assigned to cell 2 u (i) Assigned to terminal device 1-terminal device 4 in cell 2 for use, the sequence { r } associating u =0 u (i) And the DMRS signals are allocated to terminal devices 5-8 in the cell 2 for use, so that 8 DMRS signals can be obtained, which is not described in detail herein. M =18, or 24, similar to M =12, and will not be described herein.
Thus, M =12, 18, or 24, the number of sequences corresponding to the same first flag u is increased from 1 to 2 (sequences { y } u (i) And the sequence r u (i) }), when two symbols are configured for DMRS, the number of orthogonal DMRS signals is increased from 4 to 8, and it is not necessary to shorten the length of the sequence (the length is still 12, 18, or 24), the sequence { y } u (i) And the sequence r u (i) The cross correlation value between the sequences is small, the generated signal can meet the low PAPR, and the problem that a proper DMRS sequence cannot be obtained due to the fact that the sequence is shortened can be solved.
In some embodiments, the application passes through the sequence y, similar to the first signal u (i) Generating the first item, the second item and/or the third item, which can satisfy the performance requirement, of the second signal may be applicable to a wireless communication environment, and will not be described herein again.
And S1003, the network equipment receives the second signal.
Note that, regarding the sequence { y } u (i) For a specific implementation manner, reference may be made to the above-mentioned S1001, which is not described herein again.
Optionally, the network device receives signals on M subcarriers according to the predefined, or configured, positions of the N subcarriers in the subcarriers of the communication system. For example, M may be equal to 12, 18, or 24.
In a possible design manner, in step S1003, the network device receives the second signal, which may include the following step 4a, or may include the following step 4b.
And 4a, the network equipment acquires a second signal on the continuous M subcarriers.
And 4b, the network equipment acquires a second signal on the M subcarriers at equal intervals.
S1004, the network equipment acquires the sequence { y u (i) M elements of (j).
In one possible design, in S1004, the network device acquires the sequence y u (i) M elements in the } may include the following step 5 and step 6.
Optionally, the second signal consists of the sequence g u (i) Is mapped onto M subcarriers, g u (i) Is a sequence { g u (i) The elements in (c).
Illustratively, when M equals 12, the network device acquires the sequence g u (i) Element g in u (0) To g u (11)。
Illustratively, the sequence of pairs of network devices { g } u (i) Element g in u (0) To g u (11) Performing IDFT to obtain a sequence { y u (i) Element y in u (0) To y u (11)。
In a specific implementation, the terminal device may use the configured sequence y after entering the network u (i) The PUSCH is sent, and the network device uses the sequence y configured to the terminal device u (i) And receiving the PUSCH.
S1005, the network device according to the sequence y u (i) M elements in the } decode the second signal.
The specific implementation manner of S1005 is similar to that of S505 described above, and is not described herein again.
Based on the signal processing method shown in fig. 10, a sequence { y) including M elements is determined u (i) H, the sequence y u (i) Satisfy y u (i)＝A×s(i)×j i Or the sequence y u (i) Satisfy y u (i)＝A×s(i)×j i mod 2 According to the sequence y u (i) And generating and sending a second signal. Thus, satisfy y u (i)＝A×s(i)×j i Or y u (i)＝A×s(i)×j i mod 2 Sequence of (a) { y } u (i) The autocorrelation value of the signal is smaller, and the generated second signal can meet the requirement of a lower PAPR value, so that the accuracy of channel estimation can be improved.
In this application, the same or similar parts between the respective embodiments may be referred to each other unless otherwise specified. In the embodiments and the implementation methods/implementation methods in the embodiments in the present application, unless otherwise specified or conflicting in logic, terms and/or descriptions between different embodiments and between various implementation methods/implementation methods in various embodiments have consistency and can be mutually cited, and technical features in different embodiments and various implementation methods/implementation methods in various embodiments can be combined to form new embodiments, implementation methods, or implementation methods according to the inherent logic relationships thereof. The embodiments of the present application described below do not limit the scope of the present application.
The signal processing provided by the embodiments of the present application is described in detail above with reference to fig. 5-11. The signal processing apparatus provided in the embodiment of the present application is described in detail below with reference to fig. 12 to 13.
Fig. 12 is a schematic structural diagram of a signal processing apparatus that can be used to implement the embodiments of the present application. The signal processing apparatus 1200 may be a terminal device or a network device, and may also be a chip or other component with corresponding functions applied in the terminal device or the network device. As shown in fig. 12, the signal processing apparatus 1200 may include a processor 1201. Optionally, the signal processing apparatus 1200 may further comprise one or more of a memory 1202 and a transceiver 1203. The processor 1201 may be coupled to one or more of the memory 1202 and the transceiver 1203, such as by a communication bus, or the processor 1201 may be used alone.
The following specifically describes each component of the signal processing apparatus 1200 with reference to fig. 12:
the processor 1201 is a control center of the signal processing apparatus 1200, and may be a single processor or a collective term for a plurality of processing elements. For example, the processor 1201 is one or more Central Processing Units (CPUs), or may be an Application Specific Integrated Circuit (ASIC), or one or more integrated circuits configured to implement the embodiments of the present application, such as: one or more microprocessors (digital signal processors, DSPs), or one or more Field Programmable Gate Arrays (FPGAs).
The processor 1201 can perform various functions of the signal processing apparatus 1200 by running or executing software programs stored in the memory 1202 and calling data stored in the memory 1202, among other things.
In a particular implementation, processor 1201 may include one or more CPUs, such as CPU0 and CPU1 shown in fig. 12, as one embodiment.
In a specific implementation, the signal processing apparatus 1200 may also include a plurality of processors, such as the processor 1201 and the processor 1204 shown in fig. 12, as an example. Each of these processors may be a single-Core Processor (CPU) or a multi-Core Processor (CPU). A processor herein may refer to one or more communication devices, circuits, and/or processing cores for processing data (e.g., computer program instructions).
Alternatively, memory 1202 may be, but is not limited to, a read-only memory (ROM) or other type of static storage communication device that may store static information and instructions, a Random Access Memory (RAM) or other type of dynamic storage communication device that may store information and instructions, an electrically erasable programmable read-only memory (EEPROM), a compact disk read-only memory (CD-ROM) or other optical disk storage, optical disk storage (including compact disk, laser disk, optical disk, digital versatile disk, blu-ray disk, etc.), a magnetic disk storage medium or other magnetic storage communication device, or any other medium that can be used to carry or store desired program code in the form of instructions or data structures and that can be accessed by a computer. The memory 1202 may be integrated with the processor 1201, or may be independent and coupled to the processor 1201 through an input/output port (not shown in fig. 12) of the signal processing apparatus 1200, which is not specifically limited in this embodiment of the present application.
Illustratively, the input port may be configured to implement a receiving function performed by the terminal device or the network device in any of the method embodiments, and the output port may be configured to implement a transmitting function performed by the terminal device or the network device in any of the method embodiments.
The memory 1202 may be used for storing software programs for implementing the present application, and is controlled by the processor 1201 for execution. The specific implementation manner described above may refer to the following method embodiments, which are not described herein again.
Optionally, a transceiver 1203 is used for communication with other signal processing devices. For example, when the signal processing apparatus 1200 is a terminal device, the transceiver 1203 may be used for communicating with a network device. For another example, when the signal processing apparatus 1200 is a network device, the transceiver 1203 may be used for communicating with a terminal device. In addition, the transceiver 1203 may include a receiver and a transmitter (not separately shown in fig. 12). Wherein the receiver is configured to implement a receive function and the transmitter is configured to implement a transmit function. The transceiver 1203 may be integrated with the processor 1201, or may be independent of the processor 1201, and is coupled to the processor 1201 through an input/output port (not shown in fig. 12) of the signal processing apparatus 1200, which is not specifically limited in this embodiment.
It should be noted that the structure of the signal processing apparatus 1200 shown in fig. 12 is not limited to the signal processing apparatus, and an actual signal processing apparatus may include more or less components than those shown in the figure, or may combine some components, or may arrange different components.
The actions of the terminal device in fig. 5 to 11 can be executed by the processor 1201 in the signal processing apparatus 1200 shown in fig. 12 calling the application program code stored in the memory 1202 to instruct the terminal device to execute the actions.
The actions of the network device in fig. 5 to fig. 11 may be executed by the processor 1201 in the signal processing apparatus 1200 shown in fig. 12 calling the application program code stored in the memory 1202 to instruct the network device to execute, which is not limited in this embodiment.
When the signal processing apparatus is a terminal device, the signal processing apparatus 1200 may perform any one or more possible design manners related to the terminal device in the above method embodiment; when the signal processing apparatus is a network device, the signal processing apparatus 1200 may perform any one or more of the possible design manners related to the network device in the above method embodiments.
It should be noted that all relevant contents of each step related to the above method embodiment may be referred to the functional description of the corresponding functional module, and are not described herein again.
Fig. 13 is a schematic structural diagram of another signal processing apparatus according to an embodiment of the present application. For convenience of explanation, fig. 13 shows only main components of the signal processing apparatus.
The signal processing apparatus 1300 includes a transceiver module 1301 and a processing module 1302. The signal processing apparatus 1300 may be a terminal device or a network device in the foregoing method embodiments. The transceiving module 1301, which may also be referred to as a transceiving unit, is configured to implement a transceiving function performed by a terminal device or a network device in any of the method embodiments described above.
It should be noted that the transceiver module 1301 may include a receiving module and a transmitting module (not shown in fig. 13). The receiving module is used for receiving data and/or signaling from other equipment; the sending module is used for sending data and/or signaling to other equipment. The specific implementation manner of the transceiver module is not specifically limited in the present application. The transceiver module may be constituted by a transceiver circuit, a transceiver or a communication interface.
The processing module 1302 may be configured to implement the processing function executed by the terminal device or the network device in any of the method embodiments described above. The processing module 1302 may be a processor.
In the present embodiment, the signal processing apparatus 1300 is presented in a form of dividing each functional module in an integrated manner. A "module" herein may refer to a particular ASIC, a circuit, a processor and memory that execute one or more software or firmware programs, an integrated logic circuit, and/or other device that provides the described functionality. In a simple embodiment, those skilled in the art can appreciate that the signal processing apparatus 1300 can take the form of the signal processing apparatus 1200 shown in fig. 12.
For example, the processor 1201 in the signal processing apparatus 1200 shown in fig. 12 may cause the signal processing in the above-described method embodiment to be performed by calling a computer stored in the memory 1202 to execute instructions.
Specifically, the functions/implementation procedures of the transceiver module 1301 and the processing module 1302 in fig. 13 can be implemented by the processor 1201 in the signal processing apparatus 1200 shown in fig. 12 calling the computer execution instructions stored in the memory 1202. Alternatively, the function/implementation procedure of the processing module 1302 in fig. 13 may be implemented by the processor 1201 in the signal processing apparatus 1200 shown in fig. 12 calling a computer stored in the memory 1202 to execute instructions, and the function/implementation procedure of the transceiver module 1301 in fig. 13 may be implemented by the transceiver 1203 in the signal processing apparatus 1200 shown in fig. 12.
Since the signal processing apparatus 1300 provided in this embodiment can perform the signal processing, the technical effects obtained by the signal processing apparatus can refer to the method embodiments, and are not described herein again.
In one possible design, the signal processing apparatus 1300 shown in fig. 13 may be applied to the communication system shown in fig. 1a to perform the functions of the terminal device in the signal processing methods shown in fig. 5 to 9.
Wherein the processing module 1302 is configured to determine a sequence y comprising 6 elements u (i) And (4) dividing. Wherein, y u (i) Is a sequence y u (i) Element in { C }, sequence { y } u (i) Satisfy
u is the first symbol, the first symbol and the sequence y u (i) Corresponding to each other, i is 0, 1, 2, 3, 4 or 5,D is a non-zero complex number, e is a natural constant,
the sequence { ω (i) } consists of the element ω (i).
A processing module 1302 for further processing according to the sequence y u (i) Generates a first signal.
The transceiver module 1301 is configured to send a first signal.
Alternatively, the sequence { ω (i) } may refer to the sequence { ω (i) } disclosed in the signal processing method shown in fig. 5 provided in the embodiment of the present application, and both sequences are consistent, which is not described herein again.
It should be noted that all relevant contents of each step related to the method embodiment may be referred to the functional description of the corresponding functional module, and are not described herein again.
Optionally, the signal processing apparatus 1300 may further include a storage module (not shown in fig. 13) that stores programs or instructions. The program or instructions, when executed by the processing module 1302, enable the signal processing apparatus 1300 to perform the functions of the terminal device in the signal processing methods shown in fig. 5-9.
The signal processing apparatus 1300 may be a terminal device, or may be a chip (system) or other component or assembly that can be installed in the terminal device, which is not limited in this application.
In addition, the technical effects of the signal processing apparatus 1300 can refer to the technical effects of the signal processing methods shown in fig. 5 to 9, and are not described herein again.
In another possible design, the signal processing apparatus 1300 shown in fig. 13 may be applied to the communication system shown in fig. 1a to perform the functions of the network device in the signal processing methods shown in fig. 5 to 9.
The transceiver module 1301 is configured to receive a first signal.
A processing module 1302 for obtaining the sequence y u (i) 6 elements of (1). Wherein, y u (i) Is a sequence y u (i) Element in { C }, sequence { y } u (i) Satisfy
u is the first symbol, the first symbol and the sequence y u (i) One-to-one correspondence, i is 0, 1, 2, 3, 4, or 5,D is a non-zero complex number, e is a natural constant, 
The sequence { ω (i) } consists of the element ω (i).
A processing module 1302 for further processing according to the sequence y u (i) 6 elements in the symbol decode the first signal.
Alternatively, the sequence { ω (i) } may refer to the sequence { ω (i) }disclosedin the signal processing method shown in fig. 5 provided in the embodiment of the present application, and both are consistent, which is not described herein again.
It should be noted that all relevant contents of each step related to the above method embodiment may be referred to the functional description of the corresponding functional module, and are not described herein again.
Optionally, the signal processing apparatus 1300 may further include a storage module (not shown in fig. 13) that stores programs or instructions. The program or instructions, when executed by the processing module 1302, enable the signal processing apparatus 1300 to perform the functions of the network device in the signal processing methods shown in fig. 5-9.
The signal processing apparatus 1300 may be a network device, or may be a chip (system) or other component or assembly that can be disposed in the network device, which is not limited in this application.
In addition, the technical effects of the signal processing apparatus 1300 can refer to the technical effects of the signal processing methods shown in fig. 5 to 9, and are not described herein again.
In yet another possible design, the signal processing apparatus 1300 shown in fig. 13 may be applied in the communication system shown in fig. 1a to perform the functions of the terminal device in the signal processing methods shown in fig. 7a to 11.
Wherein the processing module 1302 determines a sequence y comprising M elements u (i) And (4) dividing. Wherein M is an integer greater than 1, y u (i) Is a sequence y u (i) The elements in (c). Sequence y u (i) Satisfy y u (i)＝A×s(i)×j i Or a sequence y u (i) Satisfy y u (i)＝A×s(i)×j i mod 2; u is the first symbol, the first symbol and the sequence y u (i) In a one-to-one correspondence, i is an integer greater than or equal to 0 and less than or equal to M-1, A is a non-zero complex number,
the mathematical notation mod is modulo, the element s (i) = α × (1-2 × b (i)), α is a non-zero complex number; the sequence { b (i) } consists of the elements b (i).
A processing module 1302, further configured to process the sequence y u (i) Generates a second signal.
The transceiver module 1301 is configured to send a second signal.
Alternatively, the sequence { b (i) } may refer to the sequence { b (i) } disclosed in the signal processing method shown in fig. 10 provided in the embodiment of the present application, and both sequences are consistent, which is not described herein again.
It should be noted that all relevant contents of each step related to the method embodiment may be referred to the functional description of the corresponding functional module, and are not described herein again.
Optionally, the signal processing apparatus 1300 may further include a storage module (not shown in fig. 13) that stores programs or instructions. The program or instructions, when executed by the processing module 1302, enable the signal processing apparatus 1300 to perform the functions of the terminal device in the signal processing method shown in fig. 7 a-11.
The signal processing apparatus 1300 may be a terminal device, or may be a chip (system) or other component or assembly that can be installed in the terminal device, which is not limited in this application.
In addition, the technical effects of the signal processing apparatus 1300 can refer to the technical effects of the signal processing methods shown in fig. 7a to fig. 11, and are not described herein again.
In yet another possible design, the signal processing apparatus 1300 shown in fig. 13 may be applied in the communication system shown in fig. 1a to perform the functions of the network device in the signal processing methods shown in fig. 7a to fig. 11.
The transceiver module 1301 is configured to receive the second signal.
A processing module 1302 for obtaining the sequence y u (i) M elements of (j). Wherein M is an integer greater than 1, y u (i) Is a sequence y u (i) The elements in (1); sequence y u (i) Satisfy y u (i)＝A×s(i)×j i Or the sequence y u (i) Satisfy y u (i)＝A×s(i)×j i mod 2; u is the first symbol, the first symbol and the sequence y u (i) I is an integer greater than or equal to 0 and less than or equal to M-1, A is a non-zero plural number,
the mathematical notation mod is modulo, the element s (i) = α × (1-2 × b (i)), α being a non-zero complex number; the sequence { b (i) } consists of the elements b (i).
A processing module 1302 for further processing according to the sequence y u (i) M elements of the symbol decode the second signal.
Alternatively, the sequence { b (i) } may refer to the sequence { b (i) }disclosedin the signal processing method shown in fig. 10 provided in the embodiment of the present application, and both are consistent, which is not described herein again.
It should be noted that all relevant contents of each step related to the above method embodiment may be referred to the functional description of the corresponding functional module, and are not described herein again.
Optionally, the signal processing apparatus 1300 may further include a storage module (not shown in fig. 13) that stores programs or instructions. The program or instructions, when executed by the processing module 1302, enable the signal processing apparatus 1300 to perform the functions of the network device in the signal processing method shown in fig. 7 a-11.
The signal processing apparatus 1300 may be a network device, or may be a chip (system) or other component or assembly that can be disposed in the network device, which is not limited in this application.
In addition, the technical effects of the signal processing apparatus 1300 can refer to the technical effects of the signal processing methods shown in fig. 7a to fig. 11, and are not described herein again.
The embodiment of the application provides a communication system. The communication system includes: terminal equipment and network equipment. The terminal device is configured to execute the actions of the terminal device in the foregoing method embodiment, and specific execution methods and processes may refer to the foregoing method embodiment, which is not described herein again.
The network device is configured to execute the actions of the network device in the foregoing method embodiment, and specific execution methods and processes may refer to the foregoing method embodiment, which is not described herein again.
The embodiment of the application provides a chip system, which comprises a logic circuit and an input/output port. The logic circuit may be configured to implement the processing function related to the signal processing provided in the embodiment of the present application, and the input/output port may be configured to implement the transceiving function related to the signal processing provided in the embodiment of the present application.
For example, the input port may be used to implement a receiving function related to signal processing provided by the embodiments of the present application, and the output port may be used to implement a transmitting function related to signal processing provided by the embodiments of the present application.
Illustratively, the processor in the signal processing apparatus 1200 may be configured to perform, for example and without limitation, baseband related processing, and the transceiver in the signal processing apparatus 1200 may be configured to perform, for example and without limitation, radio frequency transceiving. The above devices may be respectively disposed on separate chips, or at least a part or all of the devices may be disposed on the same chip. For example, the processor may be further divided into an analog baseband processor and a digital baseband processor. The analog baseband processor and the transceiver can be integrated on the same chip, and the digital baseband processor can be arranged on a separate chip. With the development of integrated circuit technology, more and more devices can be integrated on the same chip, for example, a digital baseband processor can be integrated on the same chip with various application processors (such as, but not limited to, a graphics processor, a multimedia processor, etc.). Such a chip may be referred to as a system on chip (soc). Whether each device is separately located on a different chip or integrated on one or more chips often depends on the specific needs of the product design. The embodiment of the present invention does not limit the specific implementation form of the above device.
In one possible design, the system-on-chip further includes a memory for storing program instructions and data implementing the functions involved in signal processing provided by the embodiments of the present application.
The chip system may be constituted by a chip, or may include a chip and other discrete devices.
Embodiments of the present application provide a computer-readable storage medium including a computer program or instructions, which when run on a computer, cause the signal processing provided by embodiments of the present application to be performed.
An embodiment of the present application provides a computer program product, including: computer programs or instructions which, when run on a computer, cause the signal processing provided by embodiments of the present application to be performed.
It should be understood that the processor in the embodiments of the present application may be a Central Processing Unit (CPU), and the processor may also be other general purpose processors, digital Signal Processors (DSPs), application Specific Integrated Circuits (ASICs), field Programmable Gate Arrays (FPGAs) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, and the like. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
It will also be appreciated that the memory in the embodiments of the subject application can be either volatile memory or nonvolatile memory, or can include both volatile and nonvolatile memory. The non-volatile memory may be a read-only memory (ROM), a Programmable ROM (PROM), an Erasable PROM (EPROM), an electrically Erasable EPROM (EEPROM), or a flash memory. Volatile memory can be Random Access Memory (RAM), which acts as external cache memory. By way of example, but not limitation, many forms of Random Access Memory (RAM) are available, such as Static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), double data rate SDRAM (DDR SDRAM), enhanced SDRAM (ESDRAM), synchlink DRAM (SLDRAM), and direct bus RAM (DR RAM).
The above embodiments may be implemented in whole or in part by software, hardware (e.g., circuitry), firmware, or any combination thereof. When implemented in software, the above-described embodiments may be implemented in whole or in part in the form of a computer program product. The computer program product comprises one or more computer instructions or computer programs. The procedures or functions according to the embodiments of the present application are wholly or partially generated when the computer instructions or the computer program are loaded or executed on a computer. The computer may be a general purpose computer, a special purpose computer, a network of computers, or other programmable device. The computer instructions may be stored on a computer readable storage medium or transmitted from one computer readable storage medium to another computer readable storage medium, for example, the computer instructions may be transmitted from one website, computer, server, or data center to another website, computer, server, or data center by wire (e.g., infrared, wireless, microwave, etc.). The computer-readable storage medium can be any available medium that can be accessed by a computer or a data storage device such as a server, data center, etc. that contains one or more collections of available media. The usable medium may be a magnetic medium (e.g., floppy disk, hard disk, magnetic tape), an optical medium (e.g., DVD), or a semiconductor medium. The semiconductor medium may be a solid state disk.
It should be understood that the term "and/or" herein is merely one type of association relationship that describes an associated object, meaning that three relationships may exist, e.g., a and/or B may mean: a exists alone, A and B exist simultaneously, and B exists alone, wherein A and B can be singular or plural. In addition, the "/" in this document generally indicates that the former and latter associated objects are in an "or" relationship, but may also indicate an "and/or" relationship, which may be understood with particular reference to the former and latter text.
In the present application, "at least one" means one or more, "a plurality" means two or more. "at least one of the following" or similar expressions refer to any combination of these items, including any combination of the singular or plural items. For example, at least one (one) of a, b, or c, may represent: a, b, c, a-b, a-c, b-c, or a-b-c, wherein a, b, c may be single or multiple.
It should be understood that, in the various embodiments of the present application, the sequence numbers of the above-mentioned processes do not mean the execution sequence, and the execution sequence of each process should be determined by its function and inherent logic, and should not constitute any limitation to the implementation process of the embodiments of the present application.
Those of ordinary skill in the art will appreciate that the various illustrative elements and algorithm steps described in connection with the embodiments disclosed herein may be implemented as electronic hardware or combinations of computer software and electronic hardware. Whether such functionality is implemented as hardware or software depends upon the particular application and design constraints imposed on the implementation. Skilled artisans may implement the described functionality in varying ways for each particular application, but such implementation decisions should not be interpreted as causing a departure from the scope of the present application.
It is clear to those skilled in the art that, for convenience and brevity of description, the specific working processes of the above-described systems, apparatuses and units may refer to the corresponding processes in the foregoing method embodiments, and are not described herein again.
In the several embodiments provided in the present application, it should be understood that the disclosed system, apparatus and method may be implemented in other ways. For example, the above-described apparatus embodiments are merely illustrative, and for example, the division of the units is only one logical division, and other divisions may be realized in practice, for example, a plurality of units or components may be combined or integrated into another system, or some features may be omitted, or not executed. In addition, the shown or discussed mutual coupling or direct coupling or communication connection may be an indirect coupling or communication connection through some interfaces, devices or units, and may be in an electrical, mechanical or other form.
The units described as separate parts may or may not be physically separate, and parts displayed as units may or may not be physical units, may be located in one place, or may be distributed on a plurality of network units. Some or all of the units can be selected according to actual needs to achieve the purpose of the solution of the embodiment.
In addition, functional units in the embodiments of the present application may be integrated into one processing unit, or each unit may exist alone physically, or two or more units are integrated into one unit.
The functions, if implemented in the form of software functional units and sold or used as a stand-alone product, may be stored in a computer readable storage medium. Based on such understanding, the technical solution of the present application or portions thereof that substantially contribute to the prior art may be embodied in the form of a software product stored in a storage medium and including instructions for causing a computer device (which may be a personal computer, a server, or a network device) to execute all or part of the steps of the method according to the embodiments of the present application. And the aforementioned storage medium includes: various media capable of storing program codes, such as a usb disk, a removable hard disk, a read-only memory (ROM), a Random Access Memory (RAM), a magnetic disk, or an optical disk.
The above description is only for the specific embodiments of the present application, but the scope of the present application is not limited thereto, and any person skilled in the art can easily conceive of the changes or substitutions within the technical scope of the present application, and shall be covered by the scope of the present application. Therefore, the protection scope of the present application shall be subject to the protection scope of the claims.
Claims (29)
1. A signal processing method, comprising:
determining a sequence y comprising 6 elements u (i) }; wherein, y u (i) For the sequence y u (i) Of the sequence { y }, the sequence { y } u (i) Satisfy
u is a first identity, said first identity being associated with said sequence { y } u (i) One-to-one correspondence, i is 0, 1, 2, 3, 4, or 5,D is a non-zero complex number, e is a natural constant,
the sequence { ω (i) } consists of the element ω (i);
according to the sequence y u (i) And generating and sending a first signal.
2. The signal processing method according to claim 1,
When u＝0, the sequence {ω(i)} is one of the following sequences: {5,-7,-3,5,-7,-7},{-1,1,-7,-1,-1,-7}，{1,3,-7,1,-1,-7}，{-1,1,7,1,-1,-7}，{1,3,-7,3,1,-7}，{-5,5,-5,-5,3,-7}，{1,3,-7,3,3,-7}，{3,-7,-5,3,3,-7}，{3,5,-5,7,3,-7}，{-5,5,-7,-5,5,-7}，{1,5,-7,5,5,-7}，{3,7,-5,5,5,-7}，{5,-7,-5,5,-7,-5}，{-1,3,7,3,-1,-5}，{-1,1,-5,-1,1,-5}，{1,3,-5,3,1,-5}，{5,-5,-3,5,5,-5}，{5,7,-3,5,5,-5}，{5,-7,-3,-7,7,-5}，{5,-7,-1,-5,7,-5}，{7,-5,-1,-5,7,-5}，{-3,7,-5,-3,7,-5}，{5,-7,-5,5,7,-5}; and/or,
When u＝1, the sequence {ω(i)} is one of the following sequences: {5,-7,3,-1,3,-7}，{-1,-7,1,1,3,-7}，{1,-7,3,1,3,-7}，{3,-7,3,1,3,-7}，{-1,-7,1,3,3,-7}，{-3,-7,5,-1,5,-7}，{5,-7,3,1,5,-7}，{-3,-7,5,1,5,-7}，{-1,-7,5,1,5,-7}，{3,-7,5,1,5,-7}，{5,-7,5,1,5,-7}，{-1,-5,-7,5,-7,-5}，{5,-5,5,3,5,-5}，{1,-5,7,3,7,-5}，{5,-5,7,3,7,-5}; and/or,
When u＝2, the sequence {ω(i)} is one of the following sequences: {-3,-7,5,-7,-3,-7}，{-7,-3,5,-7,-3,-7}，{-1,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,-1,-7,-5,-1,-7}，{-3,-7,5,-5,-1,-7}，{-3,-5,7,-5,-1,-7}，{-3,-3,7,-5,-1,-7}，{-1,-5,7,-3,-1,-7}，{-3,-3,-7,-3,1,-7}，{-1,-1,-7,-1,1,-7}，{1,-1,-7,-1,1,-7}，{3,1,-7,-1,1,-7}，{3,1,-7,1,3,-7}，{3,3,-7,1,3,-7}，{3,1,-5,1,3,-7}，{5,1,-3,1,5,-7}，{3,5,-7,3,5,-7}，{1,-7,-7,-1,-7,-5}，{-1,-7,-5,-1,-7,-5}，{1,1,-7,-1,1,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}; and/or,
When u＝3, the sequence {ω(i)} is one of the following sequences: {1,5,-7,5,-7,-7}，{1,7,-7,1,-5,-7}，{1,-7,-5,5,-5,-7}，{3,-5,-3,5,-5,-7}，{3,7,-5,7,-5,-7}，{5,-7,-3,7,-5,-7}，{3,7,-3,7,-5,-7}，{5,-5,-1,7,-5,-7}，{5,-7,-3,-7,-3,-7}，{5,-5,-1,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{5,-7,-3,3,-3,-7}，{3,7,-5,7,-3,-7}，{5,-7,-3,7,-3,-7}，{5,-5,-3,7,-3,-7}，{5,-5,-3,-7,-1,-7}，{7,-5,-1,-7,-1,-7}，{5,7,-5,-5,-1,-7}，{5,-7,-3,-5,-1,-7}，{5,-5,-1,-5,-1,-7}，{7,-5,-1,-5,-1,-7}，{-7,-3,1,-3,1,-7}，{7,-3,1,-7,-3,-5}，{3,-7,-5,5,-3,-5}，{5,-3,-1,5,-3,-5}，{7,-3,1,-3,1,-5}，{7,-5,-1,5,1,-5}，{3,-7,-5,5,-5,7}; and/or,
When u＝4, the sequence {ω(i)} is the following sequence: {5,-7,1,1,3,-5}; and/or,
When u＝5, the sequence {ω(i)} is one of the following sequences: {-5,3,-1,5,-7,-7}，{-3,3,-1,7,-7,-7}，{-3,5,1,-7,-5,-7}，{-3,3,1,5,-5,-7}，{-3,5,1,7,-5,-7}，{-3,5,3,7,-5,-7}，{-1,3,3,5,-3,-7}，{1,3,3,7,-3,-7}，{-3,5,3,7,-3,-7}，{-1,5,3,7,-3,-7}，{-1,5,5,7,-3,-7}，{-5,5,1,3,-1,-7}，{-5,3,1,5,-1,-7}，{-5,5,1,5,-1,-7}，{-5,7,1,5,-1,-7}，{-3,7,3,5,-1,-7}，{5,-5,-1,-1,1,-7}，{-5,-5,-1,5,1,-7}，{5,-3,-1,-1,3,-7}，{7,-5,1,-1,3,-7}，{-3,-7,1,5,3,-7}，{-3,-5,1,5,3,-7}，{-3,-3,-1,7,3,-7}，{-5,-7,1,7,3,-7}，{-5,-5,1,7,3,-7}，{-3,-5,1,7,3,-7}，{-3,-7,3,7,3,-7}，{-3,-5,3,7,3,-7}，{-3,-5,3,-7,5,-7}，{-1,-5,5,-7,5,-7}，{7,-3,1,-1,5,-7}，{-7,-5,3,-1,5,-7}，{-1,-5,3,5,5,-7}，{-3,-7,3,7,5,-7}，{-3,-5,3,7,5,-7}，{-1,-5,3,7,5,-7}，{-1,-5,5,-5,7,-7}，{1,-5,7,-5,7,-7}，{-7,-3,3,-1,7,-7}，{1,-3,3,7,7,-7}，{3,-1,7,-5,-7,-5}，{1,5,3,-7,-3,-5}，{-1,5,3,7,-1,-5}，{1,-1,3,-7,7,-5}，{-1,-7,5,-7,7,-5}，{1,-1,7,1,-7,-1}，{5,1,-5,-1,-5,-1}，{5,-5,-1,-3,3,7}，{-1,-7,5,-7,5,7}; and/or,
When u＝6, the sequence {ω(i)} is one of the following sequences: {5,1,5,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{-3,1,5,1,-3,-7}，{-5,-1,7,3,-3,-7}，{-3,1,7,3,-3,-7}，{-1,1,-7,-7,-1,-7}，{1,7,7,-1,-1,-7}，{-5,-1,-7,5,-1,-7}，{-3,-1,-7,5,-1,-7}，{-5,1,7,5,-1,-7}，{-5,1,-7,3,1,-7}，{-5,-1,-7,7,1,-7}，{-5,1,-7,7,1,-7}，{-5,3,-5,-7,3,-7}，{-3,1,-3,-7,5,-7}，{5,1,-3,1,5,-7}，{-3,-7,5,1,5,-7}，{1,5,-7,5,-1,-5}，{3,7,-7,5,-1,-5}，{5,7,-5,5,-1,-5}，{1,-7,-5,1,1,-5}; and/or,
When u＝7, the sequence {ω(i)} is one of the following sequences: {5,-7,1,-1,3,-7}，{5,-7,3,-1,3,-7}，{5,-5,1,1,3,-7}，{5,-5,3,1,3,-7}，{5,-7,1,-1,5,-7}，{5,-5,1,-1,5,-7}，{-3,7,3,-1,5,-7}，{5,-7,1,1,5,-7}，{5,7,1,1,5,-7}，{-1,-7,3,1,5,-7}，{3,-7,3,1,5,-7}，{5,-7,3,1,5,-7}，{5,-5,3,1,5,-7}，{7,-5,3,1,5,-7}，{3,7,3,1,5,-7}，{3,-7,5,1,5,-7}，{1,-5,3,3,5,-7}，{5,-5,1,1,7,-7}，{1,-7,3,1,7,-7}，{3,-7,3,1,7,-7}，{3,-5,3,1,7,-7}，{5,-5,3,1,7,-7}，{5,-3,3,1,7,-7}，{3,-7,5,1,7,-7}，{5,-5,5,1,7,-7}，{5,-1,5,3,-7,-5}，{7,-3,5,3,5,-5}，{1,-5,5,3,7,-5}，{5,-5,5,3,7,-5}，{7,-3,5,3,7,-5}，{5,-5,7,3,7,-5}，{7,1,7,5,-5,-3}，{-1,5,-5,-7,-1,3}，{3,5,-1,-1,3,7}，{3,-7,-1,-1,5,7}，{3,-7,3,-1,5,7}; and/or,
When u＝8, the sequence {ω(i)} is one of the following sequences: {3,1,5,-1,-1,-7}，{3,1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{-1,-1,5,-1,1,-7}，{1,-1,5,-1,1,-7}，{3,1,7,-1,1,-7}，{1,-1,-7,1,3,-7}，{1,-1,7,1,3,-7}，{5,1,7,1,3,-7}，{5,1,-5,1,5,-7}，{5,1,-3,1,5,-7}，{1,1,5,1,5,-7}，{3,1,5,1,5,-7}，{3,3,7,1,5,-7}，{-5,-5,-1,-5,-1,3}，{-1,-5,5,-5,-1,3}; and/or,
When u＝9, the sequence {ω(i)} is one of the following sequences: {-7,3,-5,1,1,-7}，{-5,5,-5,3,1,-7}，{-5,5,-3,3,1,-7}，{-5,7,-3,3,1,-7}，{-5,5,-1,3,1,-7}，{-5,7,-5,5,1,-7}，{-3,-7,-3,5,1,-7}，{-5,5,-5,3,3,-7}，{-5,3,-5,5,3,-7}，{-5,5,-5,5,3,-7}，{-5,5,-3,5,3,-7}，{-5,7,-3,5,3,-7}，{-5,5,-1,5,3,-7}，{-5,7,-1,5,3,-7}，{-5,7,-3,7,3,-7}，{-3,-7,-5,5,5,-7}，{-5,7,-5,5,5,-7}，{-3,-5,-1,7,5,-7}，{-3,-7,-3,7,7,-7}，{-3,-7,-3,-7,3,-5}，{-3,7,-3,7,5,-5}，{-3,7,1,7,5,-5}，{-1,-7,1,7,7,-1}，{5,-1,5,-3,-5,3}; and/or,
When u＝10, the sequence {ω(i)} is one of the following sequences: {1,-5,1,7,-7,-7}，{3,-7,3,-7,-5,-7}，{3,7,3,7,-5,-7}，{3,7,3,-7,-3,-7}，{5,-7,5,-7,-3,-7}，{5,-5,5,-7,-3,-7}，{5,-1,5,-7,-3,-7}，{5,1,5,-7,-3,-7}，{5,1,5,-7,-1,-7}，{1,-5,1,7,7,-7}，{5,-5,5,-5,-3,-5}，{5,-3,5,-5,-3,-5}，{-7,5,-7,-5,-1,-5}，{3,-7,3,7,-5,7}，{-1,-7,-1,5,5,7}; and/or,
When u＝11, the sequence {ω(i)} is one of the following sequences: {1,5,-3,-7,5,-7}，{3,5,-1,-7,5,-7}，{-1,5,-5,7,5,-7}，{1,5,-5,7,5,-7}，{5,7,1,-5,7,-5}，{5,-5,1,-3,-5,-1}，{-5,-1,5,1,-1,3}; and/or,
When u＝12, the sequence {ω(i)} is one of the following sequences: {5,-1,3,-1,1,-7}，{7,-1,3,-1,1,-7}，{5,-1,3,-1,3,-7}，{7,-1,3,-1,3,-7}，{5,1,5,-1,3,-7}，{7,1,5,-1,3,-7}，{7,1,-7,1,3,-7}，{7,-3,5,1,3,-7}，{-7,-1,5,1,3,-7}，{5,-1,5,1,3,-7}，{7,-1,5,1,3,-7}，{7,-3,7,1,3,-7}，{-7,-1,7,1,3,-7}，{7,-1,7,1,3,-7}，{-7,1,7,1,3,-7}，{7,1,7,1,3,-7}，{7,-1,3,1,5,-7}，{-7,1,5,1,5,-7}，{7,1,5,1,5,-7}，{-7,3,5,1,5,-7}，{-7,3,7,1,5,-7}，{7,3,7,1,5,-7}，{-7,3,7,3,5,-7}，{-7,3,7,3,7,-7}，{5,1,5,1,3,-5}，{-5,1,7,3,5,-5}，{7,1,7,3,5,-5}，{-5,5,7,3,7,-5}，{5,-1,3,-1,3,7}; and/or,
When u＝13, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,-7,3,-7}，{-5,7,-3,-7,3,-7}，{-3,-7,-3,-5,3,-7}，{-3,-7,-1,-3,3,-7}，{-3,-7,-3,-7,5,-7}，{-3,7,-3,-7,5,-7}，{-1,-5,-1,-7,5,-7}，{-3,-7,-3,-5,5,-7}，{-1,-7,-3,-5,5,-7}，{-3,-7,-1,-5,5,-7}，{-3,-5,-1,-5,5,-7}，{-3,-7,-3,-3,5,-7}，{-3,-7,-3,7,5,-7}，{-1,-7,-1,-1,7,-7}，{5,1,5,-1,-5,-1}，{-5,5,-5,7,3,7}; and/or,
When u＝14, the sequence {ω(i)} is one of the following sequences: {-1,5,1,3,-7,-7}，{1,5,1,5,-7,-7}，{3,5,1,5,-7,-7}，{3,7,1,5,-7,-7}，{3,7,3,5,-7,-7}，{1,7,1,7,-7,-7}，{3,7,3,7,-7,-7}，{3,7,1,5,-5,-7}，{3,-7,3,5,-5,-7}，{1,7,3,5,-5,-7}，{3,7,1,7,-5,-7}，{3,-7,3,7,-5,-7}，{5,-7,3,7,-5,-7}，{3,7,3,7,-5,-7}，{5,-7,5,-7,-3,-7}，{5,-5,5,-7,-3,-7}，{5,-1,5,-7,-3,-7}，{3,7,3,5,-3,-7}，{3,-7,5,7,-3,-7}，{5,-5,5,7,-3,-7}，{7,-1,7,-7,-1,-7}，{7,1,7,-7,-1,-7}，{7,-5,7,-5,-1,-7}，{-7,-1,-7,-5,1,-7}，{5,-5,5,-7,-3,-5}，{5,-5,5,-5,-3,-5}，{5,-5,5,7,-3,-5}，{3,-7,3,5,-5,7}，{3,-7,3,7,-5,7}; and/or,
When u＝15, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,1,-5,-7}，{-3,-7,-3,1,-5,-7}，{-1,-5,-3,3,-3,-7}，{-5,-5,-1,5,1,-7}，{-1,-7,-7,3,-3,-5}，{-1,-3,1,5,3,-5}; and/or,
When u＝16, the sequence {ω(i)} is one of the following sequences: {-3,3,1,5,-5,-7}，{，{1,5,1,-7,-3,-7}，{，{3,5,-1,-5,-3,-7}，{，{3,5,1,-5,-3,-7}，{3,7,1,-5,-3,-7}，{-5,5,-1,3,-3,-7}，{-5,5,1,3,-3,-7}，{-3,5,1,5,-3,-7}，{3,5,1,-5,-1,-7}，{5,7,1,-5,-1,-7}，{-5,5,1,3,-1,-7}，{5,7,-5,5,-1,-7}，{-5,7,1,5,-1,-7}，{-3,7,3,5,-1,-7}，{5,-7,1,-3,1,-7}，{-3,-7,1,5,1,-7}，{7,-5,1,-1,3,-7}，{3,5,-1,5,3,-7}，{-3,-5,1,5,3,-7}，{1,-3,1,-7,5,-7}，{3,-3,-1,-5,5,-7}，{3,-1,1,-5,5,-7}，{5,-3,1,-3,5,-7}，{7,-3,1,-1,5,-7}，{5,3,-1,3,5,-7}，{3,-1,1,-5,7,-7}，{5,-1,1,-5,7,-7}，{3,-1,1,-3,7,-7}，{5,-1,1,-3,7,-7}，{1,5,3,-7,-3,-5}，{-3,-7,3,5,-1,-5}，{5,-7,3,-1,1,-5}，{7,-7,3,-1,1,-5}，{7,-7,5,-1,1,-5}，{-3,-7,3,5,1,-5}，{-1,-7,3,5,1,-5}，{-1,1,-3,7,1,-5}，{5,7,1,7,5,-5}，{1,-1,3,-7,7,-5}，{7,5,1,5,7,-5}，{-5,5,-7,3,-1,1}，{-3,7,-5,5,-1,1}，{-7,3,-1,1,-5,7}，{5,-5,-1,-3,3,7}; and/or,
When u＝17, the sequence {ω(i)} is one of the following sequences: {-3,5,-7,-3,-7,-7}，{-1,7,-7,-1,-7,-7}，{-3,7,-5,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{-1,-7,-5,1,-7,-7}，{5,-7,-3,5,-7,-7}，{1,3,-5,1,-5,-7}，{-7,-3,5,-7,-3,-7}，{-3,1,-7,-3,-3,-7}，{-3,1,-5,-1,-3,-7}，{-7,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,-1,-7,-5,-1,-7}，{-5,-1,-7,-3,-1,-7}，{-3,-1,-7,-3,-1,-7}，{-1,1,-7,-1,-1,-7}，{-3,1,-5,-1,-1,-7}，{-1,-1,5,-1,-1,-7}，{-1,1,-7,1,-1,-7}，{1,3,-7,1,-1,-7}，{1,3,-5,1,-1,-7}，{-1,1,7,1,-1,-7}，{1,3,7,1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-3,-3,-7,-3,1,-7}，{-3,1,-3,-3,1,-7}，{-3,3,-1,-3,1,-7}，{-1,-1,-7,-1,1,-7}，{1,1,-7,1,1,-7}，{-1,1,-5,1,1,-7}，{-1,1,-7,3,1,-7}，{1,3,-7,3,1,-7}，{-5,3,-7,-7,3,-7}，{-7,3,-7,-5,3,-7}，{-1,3,1,-1,3,-7}，{3,3,-7,1,3,-7}，{1,3,-7,3,3,-7}，{3,3,-3,3,3,-7}，{-1,3,-7,5,3,-7}，{1,3,-5,5,3,-7}，{-1,3,-7,7,3,-7}，{-3,5,-7,-7,5,-7}，{-5,5,-7,-5,5,-7}，{-5,5,7,-5,5,-7}，{-3,-7,-7,-3,5,-7}，{-7,5,-7,-3,5,-7}，{5,5,-7,1,5,-7}，{1,5,5,1,5,-7}，{3,5,-7,3,5,-7}，{1,5,-7,5,5,-7}，{-1,-7,-7,-1,7,-7}，{1,7,7,1,7,-7}，{-1,-7,-5,-1,-7,-5}，{-1,-7,-3,-1,-7,-5}，{5,-7,-5,5,-7,-5}，{5,7,-5,5,-7,-5}，{5,-5,-5,1,-5,-5}，{1,-5,-3,3,-5,-5}，{1,-5,-5,5,-5,-5}，{5,-5,-3,5,-5,-5}，{1,5,-5,1,-3,-5}，{1,5,-5,1,-1,-5}，{-5,5,-5,-5,1,-5}，{-5,1,-5,-5,5,-5}，{-5,5,-5,-3,5,-5}，{-3,7,-5,-3,7,-5}，{5,-7,-5,5,7,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}，{5,5,-5,5,5,-1}，{3,-7,5,3,7,-1}，{7,-5,3,7,5,1}，{5,-5,5,5,-5,3}，{-5,-1,-1,-5,-1,3}，{5,-1,5,5,-5,5}，{5,-5,5,5,-1,5}，{-1,5,5,-5,5,5}，{-5,5,5,-1,5,5}，{-1,5,5,-1,5,7}; and/or,
When u＝18, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,-1,-3,-7}，{-1,-7,-3,1,-3,-7}，{-3,-7,-5,-1,-1,-7}，{-5,7,-5,-1,-1,-7}，{-1,-7,-5,1,-1,-7}，{1,-7,-5,1,-1,-7}，{-3,-7,-3,1,-1,-7}，{-1,-7,-3,1,-1,-7}，{-5,5,-3,1,-1,-7}，{-3,7,-3,1,-1,-7}，{-1,-7,-1,1,-1,-7}，{1,-7,-1,1,-1,-7}，{-3,-7,-3,3,-1,-7}，{-1,-5,-3,3,-1,-7}，{-1,-7,-5,1,1,-7}，{-3,-7,-3,1,1,-7}，{-1,-7,-1,1,1,-7}，{-1,-7,-5,3,1,-7}，{-1,-5,-3,3,1,-7}，{1,-5,-3,3,1,-7}，{-1,-5,-1,3,1,-7}，{-1,-5,-1,1,1,-5}，{1,-5,-3,3,1,-5}，{1,-5,1,3,1,-5}，{-5,5,-7,-3,-5,7}，{-1,-7,-5,1,-1,7}; and/or,
When u＝19, the sequence {ω(i)} is one of the following sequences: {-1,7,-7,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{1,-7,-5,1,-5,-7}，{-7,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,1,-5,-5,-1,-7}，{-3,-1,-7,-3,-1,-7}，{-1,1,-7,-1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-5,3,-3,-5,1,-7}，{-1,-1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{1,1,-7,1,1,-7}，{1,3,-7,3,1,-7}，{-5,3,-7,-7,3,-7}，{-7,3,-7,-5,3,-7}，{-5,3,-3,-5,3,-7}，{3,1,-7,1,3,-7}，{3,3,-7,1,3,-7}，{1,3,-7,3,3,-7}，{3,3,-3,3,3,-7}，{-5,5,-7,-5,5,-7}，{3,7,1,1,5,-7}，{3,7,3,1,5,-7}，{3,7,5,1,5,-7}，{3,7,7,1,5,-7}，{3,5,-7,3,5,-7}，{5,5,-1,3,5,-7}，{-1,-7,-7,-1,7,-7}，{-1,7,5,-1,7,-7}，{3,-7,5,1,7,-7}，{-1,-7,7,1,7,-7}，{1,-7,7,1,7,-7}，{1,7,7,1,7,-7}，{5,-7,3,3,7,-7}，{-1,-7,-5,-1,-7,-5}，{1,-5,-7,1,-7,-5}，{5,-7,-5,5,-7,-5}，{5,-5,-3,5,-5,-5}，{-7,1,-7,-5,1,-5}，{-5,5,-5,-3,5,-5}，{-3,7,-5,-3,7,-5}，{-1,7,3,-1,7,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}，{-5,-5,5,-7,-5,-1}，{5,-5,5,3,-5,3}，{5,-5,5,5,-5,3}，{-1,5,5,-1,5,7}；
When u＝20, the sequence {ω(i)} is one of the following sequences: {7,-3,3,-3,-1,-7}，{7,-3,5,-3,-1,-7}，{-7,-3,5,-1,1,-7}，{7,-3,5,-1,1,-7}，{-7,-1,5,1,3,-7}，{-7,-1,-7,1,3,-5}，{-7,-1,-7,3,5,-5}，{-5,1,7,3,5,-5}，{-5,1,-5,3,5,-3}，{-5,1,-5,5,7,-3}，{5,-5,3,-3,-1,7}; and/or,
When u＝21, the sequence {ω(i)} is one of the following sequences: {5,1,5,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{-3,1,5,1,-3,-7}，{-7,-1,1,-7,-1,-7}，{-1,-1,7,-7,-1,-7}，{3,-1,-7,-3,-1,-7}，{3,1,7,-3,-1,-7}，{-7,1,1,7,-1,-7}，{3,1,-7,-1,1,-7}，{7,1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{3,1,-7,1,3,-7}，{-3,-7,5,1,5,-7}，{5,1,5,-7,-1,-5}，{5,1,7,-5,-1,-5}，{5,1,-7,-3,-1,-5}，{5,-1,3,5,-1,-5}，{5,1,3,7,-1,-5}，{5,1,-5,-3,1,-5}，{-1,3,-1,-5,7,-5}，{-7,5,1,5,-7,-3}，{-1,-5,5,7,-5,5}; and/or,
When u＝22, the sequence {ω(i)} is one of the following sequences: {3,5,-5,-7,-1,-7}，{-1,3,7,5,-1,-7}，{1,5,7,7,-1,-7}，{3,5,-5,-7,1,-7}，{5,7,-3,-5,1,-7}，{1,3,-7,7,1,-7}，{3,5,-5,-7,3,-7}，{3,7,-5,-7,3,-7}，{5,7,-3,-7,3,-7}，{5,-7,-3,-5,3,-7}，{5,-5,-3,-5,3,-7}，{5,7,-3,-5,3,-7}，{5,-5,-3,-3,3,-7}，{5,7,-3,-3,3,-7}，{3,5,-5,7,3,-7}，{3,7,-5,7,3,-7}，{3,7,-5,-7,5,-7}，{5,-7,-3,-5,5,-7}，{5,-5,-1,-5,5,-7}，{5,-7,-3,-3,5,-7}，{5,-7,-1,-3,5,-7}，{5,-5,-1,-3,5,-7}，{7,-5,-1,-3,5,-7}，{5,-7,-3,-3,7,-7}，{5,7,-3,-5,1,-5}，{-1,3,-7,5,1,-5}，{5,7,-3,-7,5,-5}，{5,7,-3,-5,5,-5}，{7,-5,1,-1,5,-5}，{7,-3,1,-3,7,-5}，{7,-3,1,-1,7,-5}，{3,5,-5,-7,-1,7}; and/or,
When u＝23, the sequence {ω(i)} is one of the following sequences: {3,3,1,-5,-1,-7}，{1,3,3,-5,-1,-7}，{5,1,7,-5,5,-7}，{7,5,-7,-3,5,-7}，{5,7,3,-3,1,-5}，{5,3,-7,-5,5,-5}，{5,5,-7,-5,7,-5}，{7,5,-7,-3,7,-5}，{7,5,-5,-1,-7,-3}; and/or,
When u＝24, the sequence {ω(i)} is one of the following sequences: {7,1,7,-7,-1,-7}，{7,1,7,-7,1,-7}，{7,-1,5,7,1,-7}，{-7,1,5,-7,5,-7}，{7,1,5,-7,5,-7}，{-7,3,7,-5,5,-7}，{5,-1,3,7,5,-7}，{-5,3,-7,-5,5,-5}，{7,1,5,-7,7,-5}，{-3,7,-3,-1,7,-1}，{5,-1,3,7,3,7}; and/or,
When u＝25, the sequence {ω(i)} is one of the following sequences: {-5,1,-3,3,-7,-7}，{-3,1,7,1,-5,-7}，{-5,1,-3,3,-5,-7}，{-3,1,-1,3,-5,-7}，{-3,3,-1,3,-5,-7}，{-3,3,-1,5,-5,-7}，{-1,3,1,5,-5,-7}，{-3,1,-3,1,-3,-7}，{-1,3,-3,1,-3,-7}，{-1,1,-3,3,-3,-7}，{-3,1,-1,3,-3,-7}，{-3,3,-1,3,-3,-7}，{-1,3,-1,3,-3,-7}，{-1,3,1,5,-3,-7}，{-1,3,3,5,-3,-7}，{-3,1,-3,3,-1,-7}，{-7,-3,3,-1,7,-7}，{1,5,3,-7,-3,-5}，{1,5,-1,3,-1,-5}，{-1,3,7,3,-1,-5}，{-1,-3,3,7,5,-5}，{1,5,1,7,-1,-3}，{-3,3,7,5,-5,-1}，{-7,-1,-5,1,-7,7}; and/or,
When u＝26, the sequence {ω(i)} is one of the following sequences: {3,-7,-5,3,3,-7}，{5,-7,-1,5,3,-7}，{3,7,-5,7,3,-7}，{5,-7,-3,7,3,-7}，{5,7,-3,7,3,-7}，{5,-7,-3,-7,5,-7}，{5,-7,-3,-5,5,-7}，{5,-5,-1,-5,5,-7}，{5,-7,-3,5,5,-7}，{3,-7,-3,7,5,-7}，{5,-7,-3,7,5,-7}，{3,7,-3,7,5,-7}，{5,-7,-1,7,5,-7}，{5,-5,-3,5,5,-5}，{-7,-3,1,-5,7,-5}，{7,-3,1,-3,7,-5}; and/or,
When u＝27, the sequence {ω(i)} is one of the following sequences: {-3,3,1,5,-5,-7}，{1,5,1,-7,-3,-7}，{3,5,1,-5,-3,-7}，{-5,5,1,3,-3,-7}，{-3,5,1,5,-3,-7}，{-1,3,1,7,-3,-7}，{1,3,3,7,-3,-7}，{5,7,-3,-5,1,-7}，{5,-7,-1,-3,1,-7}，{5,-7,1,-3,1,-7}，{-3,-7,1,5,1,-7}，{-1,-3,3,5,1,-7}，{5,7,-3,-3,3,-7}，{7,-5,1,-1,3,-7}，{7,-5,3,-1,3,-7}，{-3,-5,1,5,3,-7}，{-1,-3,1,7,3,-7}，{-1,-3,3,7,3,-7}，{-1,-3,1,-7,5,-7}，{1,-3,1,-7,5,-7}，{7,-7,1,-3,5,-7}，{5,-3,1,-3,5,-7}，{7,-5,1,-1,5,-7}，{7,-3,1,-1,5,-7}，{1,-3,1,7,5,-7}，{3,-1,1,-5,7,-7}，{5,-1,1,-3,7,-7}，{1,5,3,-7,-3,-5}，{-1,7,3,7,-3,-5}，{-1,5,3,7,-1,-5}，{7,-7,3,-1,1,-5}，{-3,-7,3,5,1,-5}，{7,5,-5,-1,5,-5}，{7,-5,1,-1,5,-5}，{1,-1,3,-7,7,-5}，{1,7,5,-7,1,-3}，{-7,3,-1,1,-5,7}，{3,5,-5,-7,-1,7}，{5,-5,-1,-3,3,7}; and/or,
When u＝28, the sequence {ω(i)} is one of the following sequences: {-3,1,-7,-3,-7,-7}，{5,-7,-5,-1,-7,-7}，{-3,-1,-5,-1,-7,-7}，{-3,1,-5,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{-3,1,-7,-3,-5,-7}，{-5,-1,-1,-7,-3,-7}，{-3,1,-7,-3,-3,-7}，{-3,1,1,-5,-1,-7}，{-1,1,-7,-1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-3,1,-3,-3,1,-7}，{-3,1,-1,-3,1,-7}，{-3,1,1,-3,1,-7}，{1,1,-7,1,1,-7}，{-3,1,-7,5,1,-7}，{-3,-7,-7,3,7,-7}，{5,-5,5,5,-5,3}; and/or,
when u =29, the sequence { ω (i) } is the following sequence: { -3, -3,7, -5, -1, -7}.
3. The signal processing method according to claim 1 or 2, wherein the sequence { y } u (i) And the sequence r u (i) R, said sequence r u (i) Consists of 6 elements, r u (i) Is the sequence r u (i) Of the sequence { r }, the sequence { r } u (i) Satisfy
C is a non-zero complex number, element
Sequence of compositions
Wherein when u =0, the sequence
Comprises the following steps: { -1, -7, -3, -5, -1,3}; and/or the presence of a gas in the atmosphere,
when u =1, the sequence
Comprises the following steps: { -1,3,7, -3,7,3}; and/or the presence of a gas in the atmosphere,
when u =2, the sequence
Comprises the following steps: { -1,3,1,5, -1, -5}; and/or the presence of a gas in the gas,
when u =3, the sequence
Comprises the following steps: { -7, -3, -7,5, -7, -3}; and/or the presence of a gas in the gas,
When u =4, the sequence
Comprises the following steps: {7,5, -1, -7, -3,1}; and/or the presence of a gas in the gas,
when u =5, the sequence
Comprises the following steps: {3, -3,1,5, -1, -1}; and/or the presence of a gas in the gas,
when u =6, the sequence
Comprises the following steps: -7, -3, -7, -3,7, -5}; and/or the presence of a gas in the gas,
when u =7, the sequence
Comprises the following steps: { -7, -3,1, -5, -1, -5}; and/or the presence of a gas in the atmosphere,
when u =8, the sequence
Comprises the following steps: { -7, -3,3, -3, -7, -3}; and/or the presence of a gas in the atmosphere,
when u =9, the sequence
Comprises the following steps: { -7, -7, -1,1, -5,1}; and/or the presence of a gas in the gas,
when u =10, the sequence
Comprises the following steps: { -7, -3, -7,5, -1,5}; and/or the presence of a gas in the gas,
when u =11, the sequence
Comprises the following steps: { -7, -7, -3,1,5, -1}; and/or the presence of a gas in the gas,
when u =12, the sequence
Comprises the following steps: {5,7, -3, -5,5, -5}; and/or the presence of a gas in the gas,
when u =13, the sequence
Comprises the following steps: { -3,7, -5, -1, -5, -1}; and/or the presence of a gas in the gas,
when u =14, the sequence
Comprises the following steps: {5, -7,7,1,5,1}; and/or the presence of a gas in the atmosphere,
when u =15, the sequence
Comprises the following steps: { -7,3,1,5, -1,3}; and/or the presence of a gas in the gas,
when u =16, the sequence
Comprises the following steps: -7, -5, -1, -7, -5,5}; and/or the presence of a gas in the gas,
when u =17, the sequence
Comprises the following steps: { -7,1, -3,3,7,5}; and/or the presence of a gas in the atmosphere,
when u =18, the sequence
Comprises the following steps: -7, -7,3,5,1,5}; and/or the presence of a gas in the gas,
when u =19, the sequence
Comprises the following steps: { -7, -3,3, -1,3, -5}; and/or the presence of a gas in the gas,
When u =20, the sequence
Comprises the following steps: { -7, -5,5,3, -7, -1}; and/or the presence of a gas in the gas,
when u =21, the sequence
Comprises the following steps: {1,5,1,5,3,7}; and/or the presence of a gas in the gas,
when u =22, the sequence
Comprises the following steps: {1, -3,1, -5, -1,3}; and/or the presence of a gas in the gas,
when u =23, the sequence
Comprises the following steps: {1,7,1, -5, -7, -1}; and/or the presence of a gas in the atmosphere,
when u =24, the sequence
Comprises the following steps: {1, -1,3, -1, -7, -3}; and/or the presence of a gas in the atmosphere,
when u =25, the sequence
Comprises the following steps: {1, -1, -5, -1,3, -3}; and/or the presence of a gas in the gas,
when u =26, the sequence
Comprises the following steps: {1, -1,3, -1,3,7}; and/or the presence of a gas in the gas,
when u =27, the sequence
Comprises the following steps: { -5,3,7,5,3,7}; and/or the presence of a gas in the gas,
when u =28, the sequence
Comprises the following steps: { -7,1, -3,1,5,1}; and/or the presence of a gas in the gas,
when u =29, the sequence
Comprises the following steps: {1,5,3, -7,5, -3}.
4. The signal processing method according to any of claims 1-3, wherein the sequence { y } is based on u (i) Generating and transmitting a first signal, comprising:
for the sequence { y u (i) The 6 elements in the sequence are processed by discrete Fourier transform to obtain a sequence g u (i)}；
The sequence g u (i) Mapping 6 elements in the symbol to continuous 6 subcarriers respectively to obtain a first frequency-domain signal containing 6 elements; or, the sequence { g } u (i) Mapping 6 elements in the symbol to 6 subcarriers with equal intervals respectively to obtain a first frequency domain signal containing 6 elements;
And generating and transmitting the first signal according to the first frequency domain signal.
5. The signal processing method according to claim 4,
in the pair of the sequences { y u (i) Before discrete Fourier transform processing is carried out on 6 elements in the sequence, the method also comprises the step of carrying out discrete Fourier transform processing on the sequence y u (i) Filtering is carried out; or,
in the pair of the sequences { y u (i) After the discrete Fourier transform processing of the 6 elements in the sequence, the method also comprises the step of carrying out the discrete Fourier transform processing on the sequence { y } u (i) And filtering is carried out.
6. The signal processing method according to any of claims 1 to 5, wherein the first signal is a reference signal.
7. A signal processing method, comprising:
receiving a first signal;
acquisition sequence y u (i) 6 elements of (1); wherein, y u (i) For the sequence y u (i) Element in, the sequence y u (i) Satisfy
u is a first identity associated with the sequence y u (i) One-to-one correspondence, i is 0, 1, 2, 3, 4, or 5,D is a non-zero complex number, e is a natural constant,
the sequence { ω (i) } consists of the element ω (i);
according to the sequence y u (i) 6 elements of the first signal are processed.
8. The signal processing method according to claim 7,
When u＝0, the sequence {ω(i)} is one of the following sequences: {5,-7,-3,5,-7,-7},{-1,1,-7,-1,-1,-7}，{1,3,-7,1,-1,-7}，{-1,1,7,1,-1,-7}，{1,3,-7,3,1,-7}，{-5,5,-5,-5,3,-7}，{1,3,-7,3,3,-7}，{3,-7,-5,3,3,-7}，{3,5,-5,7,3,-7}，{-5,5,-7,-5,5,-7}，{1,5,-7,5,5,-7}，{3,7,-5,5,5,-7}，{5,-7,-5,5,-7,-5}，{-1,3,7,3,-1,-5}，{-1,1,-5,-1,1,-5}，{1,3,-5,3,1,-5}，{5,-5,-3,5,5,-5}，{5,7,-3,5,5,-5}，{5,-7,-3,-7,7,-5}，{5,-7,-1,-5,7,-5}，{7,-5,-1,-5,7,-5}，{-3,7,-5,-3,7,-5},{5,-7,-5,5,7,-5}; and/or,
When u＝1, the sequence {ω(i)} is one of the following sequences: {5,-7,3,-1,3,-7}，{-1,-7,1,1,3,-7}，{1,-7,3,1,3,-7}，{3,-7,3,1,3,-7}，{-1,-7,1,3,3,-7}，{-3,-7,5,-1,5,-7}，{5,-7,3,1,5,-7}，{-3,-7,5,1,5,-7}，{-1,-7,5,1,5,-7}，{3,-7,5,1,5,-7}，{5,-7,5,1,5,-7}，{-1,-5,-7,5,-7,-5}，{5,-5,5,3,5,-5}，{1,-5,7,3,7,-5}，{5,-5,7,3,7,-5}; and/or,
When u＝2, the sequence {ω(i)} is one of the following sequences: {-3,-7,5,-7,-3,-7}，{-7,-3,5,-7,-3,-7}，{-1,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,-1,-7,-5,-1,-7}，{-3,-7,5,-5,-1,-7}，{-3,-5,7,-5,-1,-7}，{-3,-3,7,-5,-1,-7}，{-1,-5,7,-3,-1,-7}，{-3,-3,-7,-3,1,-7}，{-1,-1,-7,-1,1,-7}，{1,-1,-7,-1,1,-7}，{3,1,-7,-1,1,-7}，{3,1,-7,1,3,-7}，{3,3,-7,1,3,-7}，{3,1,-5,1,3,-7}，{5,1,-3,1,5,-7}，{3,5,-7,3,5,-7}，{1,-7,-7,-1,-7,-5}，{-1,-7,-5,-1,-7,-5}，{1,1,-7,-1,1,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}; and/or,
When u＝3, the sequence {ω(i)} is one of the following sequences: {1,5,-7,5,-7,-7}，{1,7,-7,1,-5,-7}，{1,-7,-5,5,-5,-7}，{3,-5,-3,5,-5,-7}，{3,7,-5,7,-5,-7}，{5,-7,-3,7,-5,-7}，{3,7,-3,7,-5,-7}，{5,-5,-1,7,-5,-7}，{5,-7,-3,-7,-3,-7}，{5,-5,-1,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{5,-7,-3,3,-3,-7}，{3,7,-5,7,-3,-7}，{5,-7,-3,7,-3,-7}，{5,-5,-3,7,-3,-7}，{5,-5,-3,-7,-1,-7}，{7,-5,-1,-7,-1,-7}，{5,7,-5,-5,-1,-7}，{5,-7,-3,-5,-1,-7}，{5,-5,-1,-5,-1,-7}，{7,-5,-1,-5,-1,-7}，{-7,-3,1,-3,1,-7}，{7,-3,1,-7,-3,-5}，{3,-7,-5,5,-3,-5}，{5,-3,-1,5,-3,-5}，{7,-3,1,-3,1,-5}，{7,-5,-1,5,1,-5}，{3,-7,-5,5,-5,7}; and/or,
When u＝4, the sequence {ω(i)} is the following sequence: {5,-7,1,1,3,-5}; and/or,
When u＝5, the sequence {ω(i)} is one of the following sequences: {-5,3,-1,5,-7,-7}，{-3,3,-1,7,-7,-7}，{-3,5,1,-7,-5,-7}，{-3,3,1,5,-5,-7}，{-3,5,1,7,-5,-7}，{-3,5,3,7,-5,-7}，{-1,3,3,5,-3,-7}，{1,3,3,7,-3,-7}，{-3,5,3,7,-3,-7}，{-1,5,3,7,-3,-7}，{-1,5,5,7,-3,-7}，{-5,5,1,3,-1,-7}，{-5,3,1,5,-1,-7}，{-5,5,1,5,-1,-7}，{-5,7,1,5,-1,-7}，{-3,7,3,5,-1,-7}，{5,-5,-1,-1,1,-7}，{-5,-5,-1,5,1,-7}，{5,-3,-1,-1,3,-7}，{7,-5,1,-1,3,-7}，{-3,-7,1,5,3,-7}，{-3,-5,1,5,3,-7}，{-3,-3,-1,7,3,-7}，{-5,-7,1,7,3,-7}，{-5,-5,1,7,3,-7}，{-3,-5,1,7,3,-7}，{-3,-7,3,7,3,-7}，{-3,-5,3,7,3,-7}，{-3,-5,3,-7,5,-7}，{-1,-5,5,-7,5,-7}，{7,-3,1,-1,5,-7}，{-7,-5,3,-1,5,-7}，{-1,-5,3,5,5,-7}，{-3,-7,3,7,5,-7}，{-3,-5,3,7,5,-7}，{-1,-5,3,7,5,-7}，{-1,-5,5,-5,7,-7}，{1,-5,7,-5,7,-7}，{-7,-3,3,-1,7,-7}，{1,-3,3,7,7,-7}，{3,-1,7,-5,-7,-5}，{1,5,3,-7,-3,-5}，{-1,5,3,7,-1,-5}，{1,-1,3,-7,7,-5}，{-1,-7,5,-7,7,-5}，{1,-1,7,1,-7,-1}，{5,1,-5,-1,-5,-1}，{5,-5,-1,-3,3,7}，{-1,-7,5,-7,5,7}; and/or,
When u＝6, the sequence {ω(i)} is one of the following sequences: {5,1,5,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{-3,1,5,1,-3,-7}，{-5,-1,7,3,-3,-7}，{-3,1,7,3,-3,-7}，{-1,1,-7,-7,-1,-7}，{1,7,7,-1,-1,-7}，{-5,-1,-7,5,-1,-7}，{-3,-1,-7,5,-1,-7}，{-5,1,7,5,-1,-7}，{-5,1,-7,3,1,-7}，{-5,-1,-7,7,1,-7}，{-5,1,-7,7,1,-7}，{-5,3,-5,-7,3,-7}，{-3,1,-3,-7,5,-7}，{5,1,-3,1,5,-7}，{-3,-7,5,1,5,-7}，{1,5,-7,5,-1,-5}，{3,7,-7,5,-1,-5}，{5,7,-5,5,-1,-5}，{1,-7,-5,1,1,-5}; and/or,
When u＝7, the sequence {ω(i)} is one of the following sequences: {5,-7,1,-1,3,-7}，{5,-7,3,-1,3,-7}，{5,-5,1,1,3,-7}，{5,-5,3,1,3,-7}，{5,-7,1,-1,5,-7}，{5,-5,1,-1,5,-7}，{-3,7,3,-1,5,-7}，{5,-7,1,1,5,-7}，{5,7,1,1,5,-7}，{-1,-7,3,1,5,-7}，{3,-7,3,1,5,-7}，{5,-7,3,1,5,-7}，{5,-5,3,1,5,-7}，{7,-5,3,1,5,-7}，{3,7,3,1,5,-7}，{3,-7,5,1,5,-7}，{1,-5,3,3,5,-7}，{5,-5,1,1,7,-7}，{1,-7,3,1,7,-7}，{3,-7,3,1,7,-7}，{3,-5,3,1,7,-7}，{5,-5,3,1,7,-7}，{5,-3,3,1,7,-7}，{3,-7,5,1,7,-7}，{5,-5,5,1,7,-7}，{5,-1,5,3,-7,-5}，{7,-3,5,3,5,-5}，{1,-5,5,3,7,-5}，{5,-5,5,3,7,-5}，{7,-3,5,3,7,-5}，{5,-5,7,3,7,-5}，{7,1,7,5,-5,-3}，{-1,5,-5,-7,-1,3}，{3,5,-1,-1,3,7}，{3,-7,-1,-1,5,7}，{3,-7,3,-1,5,7}; and/or,
When u＝8, the sequence {ω(i)} is one of the following sequences: {3,1,5,-1,-1,-7}，{3,1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{-1,-1,5,-1,1,-7}，{1,-1,5,-1,1,-7}，{3,1,7,-1,1,-7}，{1,-1,-7,1,3,-7}，{1,-1,7,1,3,-7}，{5,1,7,1,3,-7}，{5,1,-5,1,5,-7}，{5,1,-3,1,5,-7}，{1,1,5,1,5,-7}，{3,1,5,1,5,-7}，{3,3,7,1,5,-7}，{-5,-5,-1,-5,-1,3}，{-1,-5,5,-5,-1,3}; and/or,
When u＝9, the sequence {ω(i)} is one of the following sequences: {-7,3,-5,1,1,-7}，{-5,5,-5,3,1,-7}，{-5,5,-3,3,1,-7}，{-5,7,-3,3,1,-7}，{-5,5,-1,3,1,-7}，{-5,7,-5,5,1,-7}，{-3,-7,-3,5,1,-7}，{-5,5,-5,3,3,-7}，{-5,3,-5,5,3,-7}，{-5,5,-5,5,3,-7}，{-5,5,-3,5,3,-7}，{-5,7,-3,5,3,-7}，{-5,5,-1,5,3,-7}，{-5,7,-1,5,3,-7}，{-5,7,-3,7,3,-7}，{-3,-7,-5,5,5,-7}，{-5,7,-5,5,5,-7}，{-3,-5,-1,7,5,-7}，{-3,-7,-3,7,7,-7}，{-3,-7,-3,-7,3,-5}，{-3,7,-3,7,5,-5}，{-3,7,1,7,5,-5}，{-1,-7,1,7,7,-1}，{5,-1,5,-3,-5,3}; and/or,
When u＝10, the sequence {ω(i)} is one of the following sequences: {1,-5,1,7,-7,-7}，{3,-7,3,-7,-5,-7}，{3,7,3,7,-5,-7}，{3,7,3,-7,-3,-7}，{5,-7,5,-7,-3,-7}，{5,-5,5,-7,-3,-7}，{5,-1,5,-7,-3,-7}，{5,1,5,-7,-3,-7}，{5,1,5,-7,-1,-7}，{1,-5,1,7,7,-7}，{5,-5,5,-5,-3,-5}，{5,-3,5,-5,-3,-5}，{-7,5,-7,-5,-1,-5}，{3,-7,3,7,-5,7}，{-1,-7,-1,5,5,7}; and/or,
When u＝11, the sequence {ω(i)} is one of the following sequences: {1,5,-3,-7,5,-7}，{3,5,-1,-7,5,-7}，{-1,5,-5,7,5,-7}，{1,5,-5,7,5,-7}，{5,7,1,-5,7,-5}，{5,-5,1,-3,-5,-1}，{-5,-1,5,1,-1,3}；or，
When u＝12, the sequence {ω(i)} is one of the following sequences: {5,-1,3,-1,1,-7}，{7,-1,3,-1,1,-7}，{5,-1,3,-1,3,-7}，{7,-1,3,-1,3,-7}，{5,1,5,-1,3,-7}，{7,1,5,-1,3,-7}，{7,1,-7,1,3,-7}，{7,-3,5,1,3,-7}，{-7,-1,5,1,3,-7}，{5,-1,5,1,3,-7}，{7,-1,5,1,3,-7}，{7,-3,7,1,3,-7}，{-7,-1,7,1,3,-7}，{7,-1,7,1,3,-7}，{-7,1,7,1,3,-7}，{7,1,7,1,3,-7}，{7,-1,3,1,5,-7}，{-7,1,5,1,5,-7}，{7,1,5,1,5,-7}，{-7,3,5,1,5,-7}，{-7,3,7,1,5,-7}，{7,3,7,1,5,-7}，{-7,3,7,3,5,-7}，{-7,3,7,3,7,-7}，{5,1,5,1,3,-5}，{-5,1,7,3,5,-5}，{7,1,7,3,5,-5}，{-5,5,7,3,7,-5}，{5,-1,3,-1,3,7}; and/or,
When u＝13, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,-7,3,-7}，{-5,7,-3,-7,3,-7}，{-3,-7,-3,-5,3,-7}，{-3,-7,-1,-3,3,-7}，{-3,-7,-3,-7,5,-7}，{-3,7,-3,-7,5,-7}，{-1,-5,-1,-7,5,-7}，{-3,-7,-3,-5,5,-7}，{-1,-7,-3,-5,5,-7}，{-3,-7,-1,-5,5,-7}，{-3,-5,-1,-5,5,-7}，{-3,-7,-3,-3,5,-7}，{-3,-7,-3,7,5,-7}，{-1,-7,-1,-1,7,-7}，{5,1,5,-1,-5,-1}，{-5,5,-5,7,3,7}; and/or,
When u＝14, the sequence {ω(i)} is one of the following sequences: {-1,5,1,3,-7,-7}，{1,5,1,5,-7,-7}，{3,5,1,5,-7,-7}，{3,7,1,5,-7,-7}，{3,7,3,5,-7,-7}，{1,7,1,7,-7,-7}，{3,7,3,7,-7,-7}，{3,7,1,5,-5,-7}，{3,-7,3,5,-5,-7}，{1,7,3,5,-5,-7}，{3,7,1,7,-5,-7}，{3,-7,3,7,-5,-7}，{5,-7,3,7,-5,-7}，{3,7,3,7,-5,-7}，{5,-7,5,-7,-3,-7}，{5,-5,5,-7,-3,-7}，{5,-1,5,-7,-3,-7}，{3,7,3,5,-3,-7}，{3,-7,5,7,-3,-7}，{5,-5,5,7,-3,-7}，{7,-1,7,-7,-1,-7}，{7,1,7,-7,-1,-7}，{7,-5,7,-5,-1,-7}，{-7,-1,-7,-5,1,-7}，{5,-5,5,-7,-3,-5}，{5,-5,5,-5,-3,-5}，{5,-5,5,7,-3,-5}，{3,-7,3,5,-5,7}，{3,-7,3,7,-5,7}; and/or,
When u＝15, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,1,-5,-7}，{-3,-7,-3,1,-5,-7}，{-1,-5,-3,3,-3,-7}，{-5,-5,-1,5,1,-7}，{-1,-7,-7,3,-3,-5}，{-1,-3,1,5,3,-5}; and/or,
When u＝16, the sequence {ω(i)} is one of the following sequences: {-3,3,1,5,-5,-7}，{1,5,1,-7,-3,-7}，{3,5,-1,-5,-3,-7}，{3,5,1,-5,-3,-7}，{3,7,1,-5,-3,-7}，{-5,5,-1,3,-3,-7}，{-5,5,1,3,-3,-7}，{-3,5,1,5,-3,-7}，{3,5,1,-5,-1,-7}，{5,7,1,-5,-1,-7}，{-5,5,1,3,-1,-7}，{5,7,-5,5,-1,-7}，{-5,7,1,5,-1,-7}，{-3,7,3,5,-1,-7}，{5,-7,1,-3,1,-7}，{-3,-7,1,5,1,-7}，{7,-5,1,-1,3,-7}，{3,5,-1,5,3,-7}，{-3,-5,1,5,3,-7}，{1,-3,1,-7,5,-7}，{3,-3,-1,-5,5,-7}，{3,-1,1,-5,5,-7}，{5,-3,1,-3,5,-7}，{7,-3,1,-1,5,-7}，{5,3,-1,3,5,-7}，{3,-1,1,-5,7,-7}，{5,-1,1,-5,7,-7}，{3,-1,1,-3,7,-7}，{5,-1,1,-3,7,-7}，{1,5,3,-7,-3,-5}，{-3,-7,3,5,-1,-5}，{5,-7,3,-1,1,-5}，{7,-7,3,-1,1,-5}，{7,-7,5,-1,1,-5}，{-3,-7,3,5,1,-5}，{-1,-7,3,5,1,-5}，{-1,1,-3,7,1,-5}，{5,7,1,7,5,-5}，{1,-1,3,-7,7,-5}，{7,5,1,5,7,-5}，{-5,5,-7,3,-1,1}，{-3,7,-5,5,-1,1}，{-7,3,-1,1,-5,7}，{5,-5,-1,-3,3,7}; and/or,
When u＝17, the sequence {ω(i)} is one of the following sequences: {-3,5,-7,-3,-7,-7}，{-1,7,-7,-1,-7,-7}，{-3,7,-5,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{-1,-7,-5,1,-7,-7}，{5,-7,-3,5,-7,-7}，{1,3,-5,1,-5,-7}，{-7,-3,5,-7,-3,-7}，{-3,1,-7,-3,-3,-7}，{-3,1,-5,-1,-3,-7}，{-7,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,-1,-7,-5,-1,-7}，{-5,-1,-7,-3,-1,-7}，{-3,-1,-7,-3,-1,-7}，{-1,1,-7,-1,-1,-7}，{-3,1,-5,-1,-1,-7}，{-1,-1,5,-1,-1,-7}，{-1,1,-7,1,-1,-7}，{1,3,-7,1,-1,-7}，{1,3,-5,1,-1,-7}，{-1,1,7,1,-1,-7}，{1,3,7,1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-3,-3,-7,-3,1,-7}，{-3,1,-3,-3,1,-7}，{-3,3,-1,-3,1,-7}，{-1,-1,-7,-1,1,-7}，{1,1,-7,1,1,-7}，{-1,1,-5,1,1,-7}，{-1,1,-7,3,1,-7}，{1,3,-7,3,1,-7}，{-5,3,-7,-7,3,-7}，{-7,3,-7,-5,3,-7}，{-1,3,1,-1,3,-7}，{3,3,-7,1,3,-7}，{1,3,-7,3,3,-7}，{3,3,-3,3,3,-7}，{-1,3,-7,5,3,-7}，{1,3,-5,5,3,-7}，{-1,3,-7,7,3,-7}，{-3,5,-7,-7,5,-7}，{-5,5,-7,-5,5,-7}，{-5,5,7,-5,5,-7}，{-3,-7,-7,-3,5,-7}，{-7,5,-7,-3,5,-7}，{5,5,-7,1,5,-7}，{1,5,5,1,5,-7}，{3,5,-7,3,5,-7}，{1,5,-7,5,5,-7}，{-1,-7,-7,-1,7,-7}，{1,7,7,1,7,-7}，{-1,-7,-5,-1,-7,-5}，{-1,-7,-3,-1,-7,-5}，{5,-7,-5,5,-7,-5}，{5,7,-5,5,-7,-5}，{5,-5,-5,1,-5,-5}，{1,-5,-3,3,-5,-5}，{1,-5,-5,5,-5,-5}，{5,-5,-3,5,-5,-5}，{1,5,-5,1,-3,-5}，{1,5,-5,1,-1,-5}，{-5,5,-5,-5,1,-5}，{-5,1,-5,-5,5,-5}，{-5,5,-5,-3,5,-5}，{-3,7,-5,-3,7,-5}，{5,-7,-5,5,7,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}，{5,5,-5,5,5,-1}，{3,-7,5,3,7,-1}，{7,-5,3,7,5,1}，{5,-5,5,5,-5,3}，{-5,-1,-1,-5,-1,3}，{5,-1,5,5,-5,5}，{5,-5,5,5,-1,5}，{-1,5,5,-5,5,5}，{-5,5,5,-1,5,5}，{-1,5,5,-1,5,7}; and/or,
When u＝18, the sequence {ω(i)} is one of the following sequences: {-3,7,-5,-1,-3,-7}，{-1,-7,-3,1,-3,-7}，{-3,-7,-5,-1,-1,-7}，{-5,7,-5,-1,-1,-7}，{-1,-7,-5,1,-1,-7}，{1,-7,-5,1,-1,-7}，{-3,-7,-3,1,-1,-7}，{-1,-7,-3,1,-1,-7}，{-5,5,-3,1,-1,-7}，{-3,7,-3,1,-1,-7}，{-1,-7,-1,1,-1,-7}，{1,-7,-1,1,-1,-7}，{-3,-7,-3,3,-1,-7}，{-1,-5,-3,3,-1,-7}，{-1,-7,-5,1,1,-7}，{-3,-7,-3,1,1,-7}，{-1,-7,-1,1,1,-7}，{-1,-7,-5,3,1,-7}，{-1,-5,-3,3,1,-7}，{1,-5,-3,3,1,-7}，{-1,-5,-1,3,1,-7}，{-1,-5,-1,1,1,-5}，{1,-5,-3,3,1,-5}，{1,-5,1,3,1,-5}，{-5,5,-7,-3,-5,7}，{-1,-7,-5,1,-1,7}; and/or,
When u＝19, the sequence {ω(i)} is one of the following sequences: {-1,7,-7,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{1,-7,-5,1,-5,-7}，{-7,-1,7,-7,-1,-7}，{-5,-1,-7,-5,-1,-7}，{-3,1,-5,-5,-1,-7}，{-3,-1,-7,-3,-1,-7}，{-1,1,-7,-1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-5,3,-3,-5,1,-7}，{-1,-1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{1,1,-7,1,1,-7}，{1,3,-7,3,1,-7}，{-5,3,-7,-7,3,-7}，{-7,3,-7,-5,3,-7}，{-5,3,-3,-5,3,-7}，{3,1,-7,1,3,-7}，{3,3,-7,1,3,-7}，{1,3,-7,3,3,-7}，{3,3,-3,3,3,-7}，{-5,5,-7,-5,5,-7}，{3,7,1,1,5,-7}，{3,7,3,1,5,-7}，{3,7,5,1,5,-7}，{3,7,7,1,5,-7}，{3,5,-7,3,5,-7}，{5,5,-1,3,5,-7}，{-1,-7,-7,-1,7,-7}，{-1,7,5,-1,7,-7}，{3,-7,5,1,7,-7}，{-1,-7,7,1,7,-7}，{1,-7,7,1,7,-7}，{1,7,7,1,7,-7}，{5,-7,3,3,7,-7}，{-1,-7,-5,-1,-7,-5}，{1,-5,-7,1,-7,-5}，{5,-7,-5,5,-7,-5}，{5,-5,-3,5,-5,-5}，{-7,1,-7,-5,1,-5}，{-5,5,-5,-3,5,-5}，{-3,7,-5,-3,7,-5}，{-1,7,3,-1,7,-5}，{5,7,-5,5,7,-5}，{1,-5,-3,1,-5,-3}，{-5,-5,5,-7,-5,-1}，{5,-5,5,3,-5,3}，{5,-5,5,5,-5,3}，{-1,5,5,-1,5,7}; and/or,
When u＝20, the sequence {ω(i)} is one of the following sequences: {7,-3,3,-3,-1,-7}，{7,-3,5,-3,-1,-7}，{-7,-3,5,-1,1,-7}，{7,-3,5,-1,1,-7}，{-7,-1,5,1,3,-7}，{-7,-1,-7,1,3,-5}，{-7,-1,-7,3,5,-5}，{-5,1,7,3,5,-5}，{-5,1,-5,3,5,-3}，{-5,1,-5,5,7,-3}，{5,-5,3,-3,-1,7}; and/or,
When u＝21, the sequence {ω(i)} is one of the following sequences: {5,1,5,-7,-3,-7}，{5,-7,-3,1,-3,-7}，{-3,1,5,1,-3,-7}，{-7,-1,1,-7,-1,-7}，{-1,-1,7,-7,-1,-7}，{3,-1,-7,-3,-1,-7}，{3,1,7,-3,-1,-7}，{-7,1,1,7,-1,-7}，{3,1,-7,-1,1,-7}，{7,1,-7,-1,1,-7}，{3,1,-5,-1,1,-7}，{3,1,-7,1,3,-7}，{-3,-7,5,1,5,-7}，{5,1,5,-7,-1,-5}，{5,1,7,-5,-1,-5}，{5,1,-7,-3,-1,-5}，{5,-1,3,5,-1,-5}，{5,1,3,7,-1,-5}，{5,1,-5,-3,1,-5}，{-1,3,-1,-5,7,-5}，{-7,5,1,5,-7,-3}，{-1,-5,5,7,-5,5}; and/or,
When u＝22, the sequence {ω(i)} is one of the following sequences: {3,5,-5,-7,-1,-7}，{-1,3,7,5,-1,-7}，{1,5,7,7,-1,-7}，{3,5,-5,-7,1,-7}，{5,7,-3,-5,1,-7}，{1,3,-7,7,1,-7}，{3,5,-5,-7,3,-7}，{3,7,-5,-7,3,-7}，{5,7,-3,-7,3,-7}，{5,-7,-3,-5,3,-7}，{5,-5,-3,-5,3,-7}，{5,7,-3,-5,3,-7}，{5,-5,-3,-3,3,-7}，{5,7,-3,-3,3,-7}，{3,5,-5,7,3,-7}，{3,7,-5,7,3,-7}，{3,7,-5,-7,5,-7}，{5,-7,-3,-5,5,-7}，{5,-5,-1,-5,5,-7}，{5,-7,-3,-3,5,-7}，{5,-7,-1,-3,5,-7}，{5,-5,-1,-3,5,-7}，{7,-5,-1,-3,5,-7}，{5,-7,-3,-3,7,-7}，{5,7,-3,-5,1,-5}，{-1,3,-7,5,1,-5}，{5,7,-3,-7,5,-5}，{5,7,-3,-5,5,-5}，{7,-5,1,-1,5,-5}，{7,-3,1,-3,7,-5}，{7,-3,1,-1,7,-5}，{3,5,-5,-7,-1,7}; and/or,
When u＝23, the sequence {ω(i)} is one of the following sequences: {3,3,1,-5,-1,-7}，{1,3,3,-5,-1,-7}，{5,1,7,-5,5,-7}，{7,5,-7,-3,5,-7}，{5,7,3,-3,1,-5}，{5,3,-7,-5,5,-5}，{5,5,-7,-5,7,-5}，{7,5,-7,-3,7,-5}，{7,5,-5,-1,-7,-3}; and/or,
When u＝24, the sequence {ω(i)} is one of the following sequences: {7,1,7,-7,-1,-7}，{7,1,7,-7,1,-7}，{7,-1,5,7,1,-7}，{-7,1,5,-7,5,-7}，{7,1,5,-7,5,-7}，{-7,3,7,-5,5,-7}，{5,-1,3,7,5,-7}，{-5,3,-7,-5,5,-5}，{7,1,5,-7,7,-5}，{-3,7,-3,-1,7,-1}，{5,-1,3,7,3,7}; and/or,
When u＝25, the sequence {ω(i)} is one of the following sequences: {-5,1,-3,3,-7,-7}，{-3,1,7,1,-5,-7}，{-5,1,-3,3,-5,-7}，{-3,1,-1,3,-5,-7}，{-3,3,-1,3,-5,-7}，{-3,3,-1,5,-5,-7}，{-1,3,1,5,-5,-7}，{-3,1,-3,1,-3,-7}，{-1,3,-3,1,-3,-7}，{-1,1,-3,3,-3,-7}，{-3,1,-1,3,-3,-7}，{-3,3,-1,3,-3,-7}，{-1,3,-1,3,-3,-7}，{-1,3,1,5,-3,-7}，{-1,3,3,5,-3,-7}，{-3,1,-3,3,-1,-7}，{-7,-3,3,-1,7,-7}，{1,5,3,-7,-3,-5}，{1,5,-1,3,-1,-5}，{-1,3,7,3,-1,-5}，{-1,-3,3,7,5,-5}，{1,5,1,7,-1,-3}，{-3,3,7,5,-5,-1}，{-7,-1,-5,1,-7,7}; and/or,
When u＝26, the sequence {ω(i)} is one of the following sequences: {3,-7,-5,3,3,-7}，{5,-7,-1,5,3,-7}，{3,7,-5,7,3,-7}，{5,-7,-3,7,3,-7}，{5,7,-3,7,3,-7}，{5,-7,-3,-7,5,-7}，{5,-7,-3,-5,5,-7}，{5,-5,-1,-5,5,-7}，{5,-7,-3,5,5,-7}，{3,-7,-3,7,5,-7}，{5,-7,-3,7,5,-7}，{3,7,-3,7,5,-7}，{5,-7,-1,7,5,-7}，{5,-5,-3,5,5,-5}，{-7,-3,1,-5,7,-5}，{7,-3,1,-3,7,-5}; and/or,
When u＝27, the sequence {ω(i)} is one of the following sequences: {-3,3,1,5,-5,-7}，{1,5,1,-7,-3,-7}，{3,5,1,-5,-3,-7}，{-5,5,1,3,-3,-7}，{-3,5,1,5,-3,-7}，{-1,3,1,7,-3,-7}，{1,3,3,7,-3,-7}，{5,7,-3,-5,1,-7}，{5,-7,-1,-3,1,-7}，{5,-7,1,-3,1,-7}，{-3,-7,1,5,1,-7}，{-1,-3,3,5,1,-7}，{5,7,-3,-3,3,-7}，{7,-5,1,-1,3,-7}，{7,-5,3,-1,3,-7}，{-3,-5,1,5,3,-7}，{-1,-3,1,7,3,-7}，{-1,-3,3,7,3,-7}，{-1,-3,1,-7,5,-7}，{1,-3,1,-7,5,-7}，{7,-7,1,-3,5,-7}，{5,-3,1,-3,5,-7}，{7,-5,1,-1,5,-7}，{7,-3,1,-1,5,-7}，{1,-3,1,7,5,-7}，{3,-1,1,-5,7,-7}，{5,-1,1,-3,7,-7}，{1,5,3,-7,-3,-5}，{-1,7,3,7,-3,-5}，{-1,5,3,7,-1,-5}，{7,-7,3,-1,1,-5}，{-3,-7,3,5,1,-5}，{7,5,-5,-1,5,-5}，{7,-5,1,-1,5,-5}，{1,-1,3,-7,7,-5}，{1,7,5,-7,1,-3}，{-7,3,-1,1,-5,7}，{3,5,-5,-7,-1,7}，{5,-5,-1,-3,3,7}; and/or,
When u＝28, the sequence {ω(i)} is one of the following sequences: {-3,1,-7,-3,-7,-7}，{5,-7,-5,-1,-7,-7}，{-3,-1,-5,-1,-7,-7}，{-3,1,-5,-1,-7,-7}，{1,-7,-7,1,-7,-7}，{-3,1,-7,-3,-5,-7}，{-5,-1,-1,-7,-3,-7}，{-3,1,-7,-3,-3,-7}，{-3,1,1,-5,-1,-7}，{-1,1,-7,-1,-1,-7}，{-7,1,-7,-7,1,-7}，{-5,1,-5,-5,1,-7}，{-3,1,-3,-3,1,-7}，{-3,1,-1,-3,1,-7}，{-3,1,1,-3,1,-7}，{1,1,-7,1,1,-7}，{-3,1,-7,5,1,-7}，{-3,-7,-7,3,7,-7}，{5,-5,5,5,-5,3}; and/or,
when u =29, the sequence { ω (i) } is the following sequence: { -3, -3,7, -5, -1, -7}.
9. The signal processing method according to claim 7 or 8, wherein the sequence { y } u (i) And the sequence r u (i) R, said sequence r u (i) Consists of 6 elements, r u (i) Is the sequence r u (i) Of the sequence { r }, the sequence { r } u (i) Satisfy
C is a non-zero complex number, i is 0, 1, 2, 3, 4, or 5,e is a natural constant, and the elements are
Sequence of compositions
Wherein when u =0, the sequence
Comprises the following steps: { -1, -7, -3, -5, -1,3};
when u =1, the sequence
Comprises the following steps: { -1,3,7, -3,7,3}; and/or the presence of a gas in the atmosphere,
when u =2, the sequence
Comprises the following steps: { -1,3,1,5, -1, -5}; and/or the presence of a gas in the gas,
When u =3, the sequence
Comprises the following steps: { -7, -3, -7,5, -7, -3}; and/or the presence of a gas in the gas,
when u =4, the sequence
Comprises the following steps: {7,5, -1, -7, -3,1}; and/or the presence of a gas in the gas,
when u =5, the sequence
Comprises the following steps: {3, -3,1,5, -1, -1}; and/or the presence of a gas in the gas,
when u =6, the sequence
Comprises the following steps: { -7, -3, -7, -3,7, -5}; and/or the presence of a gas in the atmosphere,
when u =7, the sequence
Comprises the following steps: { -7, -3,1, -5, -1, -5}; and/or the presence of a gas in the atmosphere,
when u =8, the sequence
Comprises the following steps: { -7, -3,3, -3, -7, -3}; and/or the presence of a gas in the atmosphere,
when u =9, the sequence
Comprises the following steps: { -7, -7, -1,1, -5,1}; and/or the presence of a gas in the gas,
when u =10, the sequence
Comprises the following steps: { -7, -3, -7,5, -1,5}; and/or the presence of a gas in the gas,
when u =11, the sequence
Comprises the following steps: { -7, -7, -3,1,5, -1}; and/or the presence of a gas in the gas,
when u =12, the sequence
Comprises the following steps: {5,7, -3, -5,5, -5}; and/or the presence of a gas in the gas,
when u =13, the sequence
Comprises the following steps: { -3,7, -5, -1, -5, -1}; and/or the presence of a gas in the gas,
when u =14, the sequence
Comprises the following steps: {5, -7,7,1,5,1}; and/or the presence of a gas in the gas,
when u =15, the sequence
Comprises the following steps: { -7,3,1,5, -1,3}; and/or the presence of a gas in the gas,
when u =16, the sequence
Comprises the following steps: { -7, -5, -1, -7, -5,5}; and/or the presence of a gas in the gas,
when u =17, the sequence
Comprises the following steps: { -7,1, -3,3,7,5}; and/or the presence of a gas in the gas,
when u =18, the sequence
Comprises the following steps: -7, -7,3,5,1,5}; and/or the presence of a gas in the gas,
When u =19, the sequence
Comprises the following steps: { -7, -3,3, -1,3, -5}; and/or the presence of a gas in the gas,
when u =20, the sequence
Comprises the following steps: { -7, -5,5,3, -7, -1}; and/or the presence of a gas in the gas,
when u =21, the sequence
Comprises the following steps: {1,5,1,5,3,7}; and/or the presence of a gas in the gas,
when u =22, the sequence
Comprises the following steps: {1, -3,1, -5, -1,3}; and/or the presence of a gas in the atmosphere,
when u =23, the sequence
Comprises the following steps: {1,7,1, -5, -7, -1}; and/or the presence of a gas in the atmosphere,
when u =24, the sequence
Comprises the following steps: {1, -1,3, -1, -7, -3}; and/or the presence of a gas in the gas,
when u =25, the sequence
Comprises the following steps: {1, -1, -5, -1,3, -3}; and/or the presence of a gas in the gas,
when u =26, the sequence
Comprises the following steps: {1, -1,3, -1,3,7}; and/or the presence of a gas in the gas,
when u =27, the sequence
Comprises the following steps: { -5,3,7,5,3,7}; and/or the presence of a gas in the gas,
when u =28, the sequence
Comprises the following steps: { -7,1, -3,1,5,1}; and/or the presence of a gas in the gas,
when u =29, the sequence
Comprises the following steps: {1,5,3, -7,5, -3}.
10. The signal processing method according to any one of claims 7-9, wherein the receiving a first signal comprises:
the first signal is acquired on 6 consecutive subcarriers, or the first signal is acquired on 6 equally spaced subcarriers.
11. Signal processing according to any of claims 7-10Method, characterized in that said acquisition sequence { y } u (i) 6 elements of (1), comprising:
acquisition sequence g u (i) 6 elements of (1); wherein the first signal is composed of the sequence { g } u (i) Is mapped to 6 sub-carriers to generate g u (i) Is the sequence g u (i) The elements in (1);
for the sequence { g u (i) Performing inverse discrete Fourier transform processing on 6 elements in the sequence to obtain a sequence y u (i) 6 elements of (1).
12. A signal processing method, comprising:
determining a sequence y comprising M elements u (i) }; wherein M is an integer greater than 1, y u (i) For the sequence y u (i) An element in (j); the sequence { y } u (i) Satisfy y u (i)＝A×s(i)×j i Or the sequence { y } u (i) Satisfy y u (i)＝A×s(i)×j imod2 (ii) a u is a first identity, said first identity being associated with said sequence { y } u (i) I is an integer greater than or equal to 0 and less than or equal to M-1, A is a non-zero plural number,
the mathematical notation mod is modulo, the element s (i) = α × (1-2 × b (i)), α being a non-zero complex number; the sequence { b (i) } consists of the element b (i);
according to the sequence y u (i) And generating and sending a second signal.
13. The signal processing method according to claim 12,
When M＝12, and u＝0, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,0,1,1,0,1,0},{1,0,0,1,0,1,0,1,0,0,1,1}; and/or,
When M＝12, and u＝1, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,0,0,0,0,0,0}，{1,0,0,0,1,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,0,1,0,1,1}; and/or,
When M＝12, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,1,0,0,1,0}，{1,0,1,1,0,1,0,1,1,0,1,1}; and/or,
When M＝12, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,0,1,1,0,1,1,0}，{1,1,1,1,0,1,1,1,0,0,0,1}，{1,0,1,0,1,1,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1}; and/or,
When M＝12, and u＝4, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝12, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,1}; and/or,
When M＝12, and u＝6, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,0,0,1,0,1,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0}，{1,1,0,0,0,0,1,0,0,1,0,1}; and/or,
When M＝12, and u＝7, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,1,1,0,1,0,0}，{1,0,0,1,0,1,1,1,1,1,0,0}，{1,0,1,0,0,1,0,0,0,0,1,1}; and/or,
When M＝12, and u＝8, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,0,0,0,0,1,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0}，{1,1,0,1,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝9, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,0,1,0,0,0}，{1,0,0,0,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,0,0,1,0,1,1}; and/or,
When M＝12, and u＝10, the sequence {b (i)} is the following sequence: {1,1,0,1,1,1,1,0,0,0,0,0}; and/or,
When M＝12, and u＝11, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,0,0,0,0,0}，{1,1,1,1,0,1,1,0,0,0,0,0}，{1,1,1,0,1,1,1,0,0,0,0,0}，{1,1,0,1,0,1,0,1,1,0,0,0}，{1,1,1,1,1,1,0,1,1,0,0,0}，{1,1,1,1,1,0,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,1,1,1,0,0,0}，{1,1,1,0,0,0,0,0,0,1,0,0}，{1,0,1,0,0,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0}，{1,0,1,0,1,1,1,0,0,1,0,0}，{1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,0,0,0,0,1,1,1,0,0}，{1,0,0,1,0,1,0,1,1,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,0}，{1,1,0,1,1,1,0,1,1,0,1,0}，{1,1,0,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,0,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,1,0}，{1,1,0,0,0,1,0,1,0,1,1,0}，{1,1,0,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1}，{1,1,0,0,1,0,0,0,0,0,0,1}，{1,1,0,0,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1}，{1,0,1,1,0,1,0,1,0,0,0,1}，{1,1,1,1,0,1,1,1,0,0,0,1}，{1,0,1,1,1,1,1,1,0,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,1,0,1,0,1}，{1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1}，{1,0,0,0,1,0,1,0,1,1,0,1}，{1,0,1,0,1,1,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,1,1}，{1,1,1,0,1,1,1,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,0,0,0,1,1}，{1,0,0,1,0,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,0,1,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,1,1,1,1,1}; and/or,
When M＝12, and u＝12, the sequence {b (i)} is the following sequence: {1,0,1,0,0,1,1,1,0,1,0,0}; and/or,
When M＝12, and u＝13, the sequence {b (i)} is the following sequence: {1,1,1,0,0,0,0,0,1,1,0,1}; and/or,
When M＝12, and u＝14, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,0,0,1,0,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝12, and u＝15, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝16, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝17, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0}，{1,1,0,1,1,1,0,1,1,1,1,0}; and/or,
When M＝12, and u＝18, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,1,0,1}; and/or,
When M＝12, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,0,1,1,0,0,0}，{1,1,1,1,1,1,0,0,0,1,1,0}，{1,1,1,1,0,0,0,1,1,0,1,1}; and/or,
When M＝12, and u＝20, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,0,0,1,1,1,1,0}，{1,0,1,1,1,1,0,0,0,1,0,1}; and/or,
When M＝12, and u＝21, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,0,1,0,0,0}，{1,1,1,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,1,1,0}; and/or,
When M＝12, and u＝22, the sequence {b (i)} is the following sequence: {1,1,1,0,0,1,0,1,0,0,1,0}; and/or,
When M＝12, and u＝23, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,0,0,1,0,0,1,0}，{1,1,1,1,0,1,1,0,0,0,1,1}，{1,1,0,1,1,0,0,0,1,1,1,1}; and/or,
When M＝12, and u＝24, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,0,0,1,1,1,1,1,0}，{1,1,0,1,0,1,1,0,1,1,0,1}，{1,0,1,1,0,1,1,0,1,0,1,1}; and/or,
When M＝12, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,0,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0}，{1,0,1,0,1,1,1,0,0,1,0,0}; and/or,
When M＝12, and u＝26, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,1,1,0,0,0,0,0}，{1,1,0,1,1,1,1,0,0,0,0,0}，{1,1,1,0,0,0,0,1,0,0,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,0}，{1,0,0,1,1,1,1,1,0,0,0,0}，{1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,1,0,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,1,1,0,0,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,1,0,0,1,0,1,0,0}，{1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,0,1,0,1,1,1,0,1,0,0}，{1,0,1,0,0,1,0,1,1,1,0,0}，{1,0,0,0,0,1,1,1,1,1,0,0}，{1,1,0,1,1,0,1,0,0,0,1,0}，{1,1,0,1,0,1,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,0}，{1,0,0,1,1,1,0,1,0,0,1,0}，{1,0,0,1,0,1,1,1,0,0,1,0}，{1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,0,0,0,1,1,0}，{1,0,1,1,0,1,0,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,1,0}，{1,0,1,1,0,0,0,1,0,1,1,0}，{1,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,1,0,1,0,0,1,1,1,0}，{1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,0,1}，{1,0,1,1,1,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,0,0,0,0,1}，{1,0,1,0,1,1,0,1,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,0,0,1,0,1,0,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1}，{1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,0,0,1,0,1,0,0,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,1}，{1,0,0,0,1,0,1,1,0,1,0,1}，{1,1,1,0,0,0,0,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1}，{1,0,0,0,0,0,1,1,1,1,0,1}，{1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,1,1,0,0,0,0,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1}，{1,1,1,0,0,1,0,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,1,1}，{1,1,1,0,0,0,0,1,0,0,1,1}，{1,0,1,0,0,1,0,1,0,0,1,1}，{1,0,1,0,0,1,0,0,1,0,1,1}，{1,0,0,1,0,1,0,0,1,0,1,1}，{1,1,0,0,0,0,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,1}，{1,0,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,1,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1}，{1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,0,0,0,0,1,1,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,0,0,0,0,1,1,1,1}，{1,0,0,0,0,1,0,0,1,1,1,1}; and/or,
When M＝12, and u＝27, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,0,0,1,0,1,0}，{1,1,0,0,0,1,0,0,0,0,0,1}，{1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝12, and u＝28, the sequence {b (i)} is the following sequence: {1,1,0,1,0,0,0,1,1,0,1,0}; and/or,
When M＝12, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,1,0,0,1,1,1,1}; and/or,
When M＝18, and u＝0, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0}，{1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0}，{1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0}，{1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0}，{1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0}，{1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,0}，{1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1}，{1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1}，{1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1}，{1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1}，{1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1}，{1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,1}，{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1}，{1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}，{1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝18, and u＝1, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0}，{1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0}，{1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0}，{1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0}，{1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1}，{1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}; and/or,
When M＝18, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0}，{1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0}，{1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0}，{1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0}，{1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0}，{1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0}，{1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0}，{1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0}，{1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,1,0}，{1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1}，{1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1}，{1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1}，{1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1}，{1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1}，{1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1}，{1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,1}，{1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1}，{1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1}，{1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1}，{1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1}; and/or,
When M＝18, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0}，{1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0}，{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0}，{1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1}，{1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1}，{1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1}，{1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1}，{1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1}，{1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝4, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0}，{1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0}，{1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0}，{1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1}，{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1}，{1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1}，{1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1}，{1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1}; and/or,
When M＝18, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0}，{1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0}，{1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0}，{1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0}，{1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0}，{1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0}，{1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0}，{1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0}，{1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,1,1,0}，{1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1}，{1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1}，{1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1}，{1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝6, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0}，{1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0}，{1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0}，{1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0}，{1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0}，{1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0}，{1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,1}，{1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1}，{1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1}，{1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,1,1}; and/or,
When M＝18, and u＝7, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0}，{1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0}，{1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0}，{1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0}，{1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0}，{1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1}，{1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1}，{1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1}，{1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1}，{1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1}，{1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝8, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0}，{1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0}，{1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0}，{1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0}，{1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0}，{1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0}，{1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1}，{1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1}，{1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1}，{1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1}，{1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1,1}，{1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1}，{1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}，{1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1}，{1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝9, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0}，{1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0}，{1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0}，{1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0}，{1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0}，{1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0}，{1,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,1,1}，{1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝10, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0}，{1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0}，{1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0}，{1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0}，{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0}，{1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,1,0}，{1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1}，{1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1}，{1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1}，{1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝11, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0}，{1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0}，{1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0}，{1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0}，{1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0}，{1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0}，{1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0}，{1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0}，{1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0}，{1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,0}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1}，{1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1}，{1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1}，{1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1}，{1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1}，{1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝12, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0}，{1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0}，{1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0}，{1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0}，{1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0}，{1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0}，{1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0}，{1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0}，{1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0}，{1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0}，{1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0}，{1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1}，{1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1}，{1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,1}，{1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝13, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0}，{1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0}，{1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0}，{1,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0}，{1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0}，{1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0}，{1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0}，{1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0}，{1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0,1,0}，{1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0}，{1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0}，{1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0}，{1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0}，{1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1}，{1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,1}，{1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1}，{1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1}，{1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1}，{1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1}，{1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,1}，{1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝14, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0}，{1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0}，{1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0}，{1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1}，{1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1}，{1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1}，{1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1}，{1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1}，{1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1}，{1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1}，{1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,1}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1}，{1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1}，{1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,1,1,1}，{1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1}，{1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,1,1}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝15, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0}，{1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0}，{1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0}，{1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0}，{1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0}，{1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0}，{1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0}，{1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0}，{1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0}，{1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0}，{1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0}，{1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0}，{1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1}，{1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1}，{1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1}，{1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1}，{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1}，{1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1}，{1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1}，{1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0,1,1}，{1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝16, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0}，{1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0}，{1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0}，{1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0}，{1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0}，{1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0}，{1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0}，{1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,1,0,0}，{1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0}，{1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0}，{1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0}，{1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0}，{1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0}，{1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1}，{1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1}，{1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1}，{1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1}，{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,1,1}，{1,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1}，{1,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1}，{1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,1}，{1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,1}，{1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1}，{1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1}，{1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1}，{1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝17, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0}，{1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0}，{1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0}，{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0}，{1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0}，{1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0}，{1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0}，{1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0}，{1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0}，{1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0}，{1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1}，{1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1}，{1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1}，{1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1}，{1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1}，{1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1}，{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1}，{1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1}，{1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1}，{1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1}，{1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝18, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0}，{1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0}，{1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0}，{1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1}，{1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1}，{1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1}，{1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1}，{1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1}，{1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1}，{1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1}，{1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0}，{1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1}，{1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1}，{1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1}，{1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1}，{1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1}，{1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,0,1,0,1,1,1,1,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1}，{1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1}，{1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1}，{1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1}，{1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1}，{1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝20, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0}，{1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0}，{1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1}，{1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1}，{1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1}，{1,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1}，{1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1}，{1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝21, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0}，{1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0}，{1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0}，{1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0}，{1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,1,0,0}，{1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0}，{1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0}，{1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,1,0,0}，{1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0}，{1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0}，{1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0}，{1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}，{1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1}; and/or,
When M＝18, and u＝22, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0}，{1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0}，{1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0}，{1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0}，{1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0}，{1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0}，{1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0}，{1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0}，{1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1}，{1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1}，{1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1}，{1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1}; and/or,
When M＝18, and u＝23, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0}，{1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0}，{1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0}，{1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1}，{1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1}，{1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1}，{1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1}，{1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1}，{1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1}，{1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝24, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,1,0,1,1,0,1,1,1,1,0,1,1,1,1,0}，{1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1}，{1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1}，{1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0}，{1,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0}，{1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0}，{1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0}，{1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0}，{1,0,0,1,0,0,1,0,1,1,1,1,0,1,1,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0}，{1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1}，{1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1}，{1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1}，{1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1}，{1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1}，{1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1}，{1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝26, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0}，{1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0}，{1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0}，{1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0}，{1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0}，{1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1}，{1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝27, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0}，{1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0}，{1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0}，{1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0}，{1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0}，{1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0}，{1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1}，{1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1}，{1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1}，{1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝28, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0}，{1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0}，{1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0}，{1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0}，{1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1}，{1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1}，{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1}，{1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1}，{1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1}，{1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1}，{1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0}，{1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0}，{1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0}，{1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0}，{1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1}，{1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1}，{1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1}，{1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1}，{1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝0, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0}，{1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0}，{1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0}，{1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0}，{1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,1}，{1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1}，{1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝1, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0}，{1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0}，{1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0}，{1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0}，{1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0}，{1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0}，{1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0}，{1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0}，{1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1}，{1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1}，{1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1}，{1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1}，{1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1}，{1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1}; and/or,
When M＝24, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0}，{1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0}，{1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0}，{1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0}，{1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0}，{1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1}，{1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1}，{1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1}，{1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1}，{1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1}，{1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1}，{1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1}，{1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,1}，{1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1}，{1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1}，{1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0}，{1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0}，{1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0}，{1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0}，{1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0}，{1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0}，{1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,1,1,0}，{1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1}，{1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1}，{1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1}，{1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1}，{1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,1}，{1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1}，{1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1}，{1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1}，{1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1}，{1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,1}，{1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1}，{1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝4, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0}，{1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0}，{1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0}，{1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0}，{1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0}，{1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0}，{1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0}，{1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,1,0}，{1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1}，{1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,1,1,1}，{1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1}，{1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0}，{1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0}，{1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0}，{1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0}，{1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0}，{1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0}，{1,1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0}，{1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1}，{1,0,1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}，{1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1}，{1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1}，{1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1}; and/or,
When M＝24, and u＝6, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0}，{1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0}，{1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0}，{1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0}，{1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0}，{1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0}，{1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0}，{1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0}，{1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0}，{1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0}，{1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0}，{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0}，{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0}，{1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1}，{1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1}，{1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1}，{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1}，{1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,1}，{1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝7, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0}，{1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0}，{1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0}，{1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0}，{1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0}，{1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0}，{1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0}，{1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0}，{1,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1}，{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1}，{1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1}，{1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1}，{1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1}，{1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1}，{1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1}，{1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1}，{1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1}，{1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝8, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0}，{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0}，{1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0}，{1,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0}，{1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0}，{1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0}，{1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0}，{1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1}，{1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1}，{1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1}，{1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,1}，{1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1}，{1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1}，{1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1}，{1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1}，{1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1}; and/or,
When M＝24, and u＝9, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0}，{1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0}，{1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0}，{1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0}，{1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0}，{1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0}，{1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0}，{1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,1,0}，{1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1}，{1,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,1}，{1,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1}，{1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1}，{1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1}，{1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1}，{1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1}，{1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1}，{1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1}，{1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1}，{1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝10, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0}，{1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0}，{1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0}，{1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0}，{1,1,0,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0}，{1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0}，{1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0}，{1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0}，{1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0}，{1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0}，{1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0}，{1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1}，{1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1}，{1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1}，{1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1}，{1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1}，{1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1}，{1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1}，{1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1}，{1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1}; and/or,
When M＝24, and u＝11, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0}，{1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0}，{1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0}，{1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0}，{1,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0}，{1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0}，{1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0}，{1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0}，{1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0}，{1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1}，{1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1}，{1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1}，{1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝12, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0}，{1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0}，{1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0}，{1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0}，{1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1}，{1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1}，{1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1}，{1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1}，{1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1}，{1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1}，{1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1}，{1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1}，{1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,1,0,1}，{1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1}; and/or,
When M＝24, and u＝13, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0}，{1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0}，{1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0}，{1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0}，{1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0}，{1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0}，{1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0}，{1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0}，{1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0}，{1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0}，{1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0}，{1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,0}，{1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1}，{1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1}，{1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1}，{1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1}，{1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1}，{1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1}，{1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝14, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0}，{1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0}，{1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0}，{1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0}，{1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0}，{1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0}，{1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0}，{1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0}，{1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0}，{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0}，{1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1}，{1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1}，{1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝15, the sequence {b (i)} is one of the following sequences: {1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0}，{1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0}，{1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0}，{1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1}，{1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1}，{1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,1,1}，{1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝16, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0}，{1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0}，{1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0}，{1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0}，{1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0}，{1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0}，{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0}，{1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,0}，{1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0}，{1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,0}，{1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,0,1}，{1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1}，{1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,1}，{1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1}，{1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝17, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0}，{1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0}，{1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0}，{1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0}，{1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0}，{1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,0}，{1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0}，{1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1}，{1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1}，{1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1}，{1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1}，{1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1}，{1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1}，{1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1}，{1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝18, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0}，{1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0}，{1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0}，{1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0}，{1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0}，{1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0}，{1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0}，{1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0}，{1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0}，{1,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1}，{1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1}，{1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1}，{1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1}，{1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1}，{1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1}，{1,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1}，{1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,1}，{1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0}，{1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0}，{1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0}，{1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0}，{1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0}，{1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0}，{1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0}，{1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0}，{1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0}，{1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1}，{1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1}，{1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1}，{1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1}，{1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1}，{1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,1}，{1,1,1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1}，{1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝20, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0}；1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0}，{1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0}，{1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0}，{1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0}，{1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1}，{1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1}，{1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1}，{1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1}，{1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,1}，{1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1}，{1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝21, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0}，{1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0}，{1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0}，{1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0}，{1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0}，{1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0}，{1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0}，{1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0}，{1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1}，{1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1}，{1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1}，{1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1}，{1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝22, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0}，{1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0}，{1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0}，{1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1}，{1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1}，{1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1}，{1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1}，{1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1}，{1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1}，{1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1}，{1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,1}，{1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1}; and/or,
When M＝24, and u＝23, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0}，{1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0}，{1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0}，{1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0}，{1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0}，{1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0}，{1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1}，{1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1}，{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1}，{1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,1}，{1,1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1}，{1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,1}，{1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1}，{1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1}，{1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝24, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0}，{1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0}，{1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0}，{1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0}，{1,1,1,0,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0}，{1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0}，{1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0}，{1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0}，{1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0}，{1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0}，{1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0}，{1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0}，{1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0}，{1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1}，{1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1}，{1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1}，{1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1}，{1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1}，{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1}，{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1}; and/or,
When M＝24, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0}，{1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0}，{1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0}，{1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0}，{1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0}，{1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0}，{1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0}，{1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0}，{1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0}，{1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0}，{1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0}，{1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0}，{1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0}，{1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1}，{1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1}，{1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1}，{1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1}，{1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,1}，{1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,1}，{1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝26, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0}，{1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0}，{1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0}，{1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0}，{1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0}，{1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0}，{1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0}，{1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,0}，{1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0}，{1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0}，{1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0}，{1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1}，{1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1}，{1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1}，{1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1}，{1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1}，{1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1}，{1,1,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1}，{1,0,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1}，{1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1}，{1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1}，{1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1}，{1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1}，{1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝27, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0}，{1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0}，{1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0}，{1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,1,0}，{1,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0}，{1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1}，{1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1}，{1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1}，{1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1}，{1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1}，{1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝28, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0}，{1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0}，{1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0}，{1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0}，{1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0}，{1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1}，{1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1}，{1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1}，{1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1}，{1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1}，{1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1}，{1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1}，{1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1}，{1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1}，{1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1}，{1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1}，{1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1}，{1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0}，{1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0}，{1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0}，{1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0}，{1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0}，{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1}，{1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1}，{1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1}，{1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1}，{1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1}，{1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,1,1}。
14. The signal processing method according to claim 12 or 13, wherein the sequence { y } u (i) And the sequence r u (i) R, said sequence r u (i) Consists of M elements, r u (i) Is the sequence r u (i) Of the sequence { r }, the sequence { r } u (i) Satisfy r u (i)＝B×t(i)×j i Or r u (i)＝B×t(i)×j imod2 (ii) a B is a non-zero complex number, the element t (i) = β × (1-2 × d (i)), β being a non-zero complex number, the element d (i) constituting the sequence { d (i) };
wherein, when M =12 and u =0, the sequence { d (i) } is: {0,0,0,0,0,0,1,1,0,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =12 and u =1, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =2, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =3, the sequence { d (i) } is: {1,1,0,1,1,0,1,0,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =4, the sequence { d (i) } is: {1,1,0,0,1,0,1,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =5, the sequence { d (i) } is: {1,0,1,1,0,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =6, the sequence { d (i) } is: {0,0,0,1,0,0,1,0,0,0,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =7, the sequence { d (i) } is: {0,1,0,0,0,1,0,0,1,0,0,0}; and/or the presence of a gas in the gas,
When M =12 and u =8, the sequence { d (i) } is: {1,0,1,1,1,1,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =9, the sequence { d (i) } is: {1,0,1,1,0,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =10, the sequence { d (i) } is: {1,0,1,1,0,1,0,0,0,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =11, the sequence { d (i) } is: {1,0,1,0,0,1,0,0,1,0,1,0}; and/or the presence of a gas in the atmosphere,
when M =12, and u =12, the sequence { d (i) } is: {1,1,0,0,0,0,0,1,1,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =12 and u =13, the sequence { d (i) } is: {0,1,0,0,0,1,1,0,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =14, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =15, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =16, the sequence { d (i) } is: {0,0,1,0,0,1,0,0,0,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =17, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,1,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =18, the sequence { d (i) } is: {0,0,0,1,1,1,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =19, the sequence { d (i) } is: {1,0,0,0,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
When M =12 and u =20, the sequence { d (i) } is: {0,1,1,1,1,0,1,0,1,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =21, the sequence { d (i) } is: {0,1,1,1,0,1,0,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =22, the sequence { d (i) } is: {0,1,1,1,1,1,0,0,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =23, the sequence { d (i) } is: {0,1,1,1,0,0,0,0,0,1,0,0}; and/or the presence of a gas in the atmosphere,
when M =12 and u =24, the sequence { d (i) } is: {0,0,1,1,1,1,1,1,1,1,0,0}; and/or the presence of a gas in the atmosphere,
when M =12 and u =25, the sequence { d (i) } is: {0,1,1,1,0,0,1,1,0,1,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =26, the sequence { d (i) } is: {0,1,1,1,0,1,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =27, the sequence { d (i) } is: {0,1,1,1,1,1,1,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12, and u =28, the sequence { d (i) } is: {0,1,1,1,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =29, the sequence { d (i) } is: {0,1,1,1,0,1,1,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =0, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =1, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
When M =18, and u =2, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =3, the sequence { d (i) } is: {0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =4, the sequence { d (i) } is: {1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =5, the sequence { d (i) } is: {0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =18, and u =6, the sequence { d (i) } is: {0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =7, the sequence { d (i) } is: {0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =8, the sequence { d (i) } is: {0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =9, the sequence { d (i) } is: {1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =10, the sequence { d (i) } is: {1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =11, the sequence { d (i) } is: {1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =12, the sequence { d (i) } is: {1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1}; and/or the presence of a gas in the gas,
When M =18, and u =13, the sequence { d (i) } is: {1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =14, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =15, the sequence { d (i) } is: {0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =16, the sequence { d (i) } is: {0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =17, the sequence { d (i) } is: {0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0}; and/or the presence of a gas in the atmosphere,
when M =18, and u =18, the sequence { d (i) } is: {0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the atmosphere,
when M =18, and u =19, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =20, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =21, the sequence { d (i) } is: {1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =22, the sequence { d (i) } is: {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =23, the sequence { d (i) } is: {0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1}; and/or the presence of a gas in the gas,
When M =18, and u =24, the sequence { d (i) } is: {1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =25, the sequence { d (i) } is: {1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =26, the sequence { d (i) } is: {0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =27, the sequence { d (i) } is: {0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the atmosphere,
when M =18, and u =28, the sequence { d (i) } is: {0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the atmosphere,
when M =18, and u =29, the sequence { d (i) } is: {0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0}; and/or the presence of a gas in the atmosphere,
when M =24, and u =0, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =24, and u =1, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0}; and/or the presence of a gas in the gas,
when M =24, and u =2, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =3, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
When M =24, and u =4, the sequence { d (i) } is: {1,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =5, the sequence { d (i) } is: {1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =6, the sequence { d (i) } is: {0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =7, the sequence { d (i) } is: {1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =24, and u =8, the sequence { d (i) } is: {0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =24, and u =9, the sequence { d (i) } is: {0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =10, the sequence { d (i) } is: {1,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =11, the sequence { d (i) } is: {0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0}; and/or the presence of a gas in the gas,
when M =24, and u =12, the sequence { d (i) } is: {1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =13, the sequence { d (i) } is: {1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0}; and/or the presence of a gas in the gas,
When M =24, and u =14, the sequence { d (i) } is: {1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =15, the sequence { d (i) } is: {1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1}; and/or the presence of a gas in the gas,
when M =24, and u =16, the sequence { d (i) } is: {0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1}; and/or the presence of a gas in the gas,
when M =24, and u =17, the sequence { d (i) } is: {1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0}; and/or the presence of a gas in the gas,
when M =24, and u =18, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =24, and u =19, the sequence { d (i) } is: {1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =24, and u =20, the sequence { d (i) } is: {0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =21, the sequence { d (i) } is: {0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =22, the sequence { d (i) } is: {1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
When M =24, and u =23, the sequence { d (i) } is: {1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =24, the sequence { d (i) } is: {1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =24, and u =25, the sequence { d (i) } is: {1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =24, and u =26, the sequence { d (i) } is: {0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =24 and u =27, the sequence { d (i) } is: {0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24, and u =28, the sequence { d (i) } is: {0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =24 and u =29, the sequence { d (i) } is: {0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,1}.
15. The signal processing method according to any of claims 12-14, wherein the sequence { y } is based on u (i) Generating and transmitting a second signal, comprising:
for the sequence { y u (i) M elements in the sequence are subjected to discrete Fourier transform processing to obtain a sequence g u (i)}；
The sequence g u (i) Mapping M elements in the symbol sequence to M continuous subcarriers respectively to obtain a second frequency domain signal containing the M elements; or, the sequence { g } u (i) Mapping M elements in the symbol to M subcarriers with equal intervals respectively to obtain a second frequency domain signal containing the M elements;
and generating and transmitting the second signal according to the second frequency domain signal.
16. The signal processing method of claim 15,
in the pair of the sequences { y u (i) Before discrete Fourier transform processing is carried out on the M elements in the sequence, the method also comprises the step of carrying out discrete Fourier transform processing on the sequence y u (i) Filtering is carried out; or,
in the pair of the sequences { y u (i) Processing M elements in the sequence by discrete Fourier transform, and then carrying out discrete Fourier transform processing on the sequence y u (i) Filtering.
17. The signal processing method of any one of claims 12 to 16, wherein the second signal is a reference signal.
18. A signal processing method, comprising:
receiving a second signal;
acquisition sequence y u (i) M elements in (j); wherein M is an integer greater than 1, y u (i) For the sequence y u (i) An element in (j); the sequence { y u (i) Satisfy y u (i)＝A×s(i)×j i Or the sequence y u (i) Satisfy y u (i)＝A×s(i)×j imod2 (ii) a u is a first identity, said first identity being associated with said sequence { y } u (i) I is an integer greater than or equal to 0 and less than or equal to M-1, A is a non-zero plural number,
the mathematical notation mod is modulo, the element s (i) = α × (1-2 × b (i)), α being a non-zero complex number; the sequence { b (i) } consists of the element b (i);
according to the sequence y u (i) M elements of said second signal are processed.
19. The signal processing method of claim 18,
When M＝12, and u＝0, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,0,1,1,0,1,0}，{1,0,0,1,0,1,0,1,0,0,1,1}; and/or,
When M＝12, and u＝1, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,0,0,0,0,0,0}，{1,0,0,0,1,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,0,1,0,1,1}; and/or,
When M＝12, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,1,0,0,1,0}，{1,0,1,1,0,1,0,1,1,0,1,1}; and/or,
When M＝12, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,0,1,1,0,1,1,0}，{1,1,1,1,0,1,1,1,0,0,0,1}，{1,0,1,0,1,1,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1}; and/or,
When M＝12, and u＝4, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝12, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,1}; and/or,
When M＝12, and u＝6, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,0,0,1,0,1,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0}，{1,1,0,0,0,0,1,0,0,1,0,1}; and/or,
When M＝12, and u＝7, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,1,1,0,1,0,0}，{1,0,0,1,0,1,1,1,1,1,0,0}，{1,0,1,0,0,1,0,0,0,0,1,1}; and/or,
When M＝12, and u＝8, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,0,0,0,0,1,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0}，{1,1,0,1,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝9, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,0,1,0,0,0}，{1,0,0,0,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,0,0,1,0,1,1}; and/or,
When M＝12, and u＝10, the sequence {b (i)} is the following sequence: {1,1,0,1,1,1,1,0,0,0,0,0}; and/or,
When M＝12, and u＝11, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,0,0,0,0,0}，{1,1,1,1,0,1,1,0,0,0,0,0}，{1,1,1,0,1,1,1,0,0,0,0,0}，{1,1,0,1,0,1,0,1,1,0,0,0}，{1,1,1,1,1,1,0,1,1,0,0,0}，{1,1,1,1,1,0,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,1,1,1,0,0,0}，{1,1,1,0,0,0,0,0,0,1,0,0}，{1,0,1,0,0,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0}，{1,0,1,0,1,1,1,0,0,1,0,0}，{1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,0,0,0,0,1,1,1,0,0}，{1,0,0,1,0,1,0,1,1,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,0}，{1,1,0,1,1,1,0,1,1,0,1,0}，{1,1,0,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,0,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,1,0}，{1,1,0,0,0,1,0,1,0,1,1,0}，{1,1,0,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1}，{1,1,0,0,1,0,0,0,0,0,0,1}，{1,1,0,0,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1}，{1,0,1,1,0,1,0,1,0,0,0,1}，{1,1,1,1,0,1,1,1,0,0,0,1}，{1,0,1,1,1,1,1,1,0,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,1,0,1,0,1}，{1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1}，{1,0,0,0,1,0,1,0,1,1,0,1}，{1,0,1,0,1,1,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,1,1}，{1,1,1,0,1,1,1,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,0,0,0,1,1}，{1,0,0,1,0,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,0,1,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,1,1,1,1,1}; and/or,
When M＝12, and u＝12, the sequence {b (i)} is the following sequence: {1,0,1,0,0,1,1,1,0,1,0,0}; and/or,
When M＝12, and u＝13, the sequence {b (i)} is the following sequence: {1,1,1,0,0,0,0,0,1,1,0,1}; and/or,
When M＝12, and u＝14, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,0,0,1,0,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝12, and u＝15, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝16, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,0,1,1}; and/or,
When M＝12, and u＝17, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0}，{1,1,0,1,1,1,0,1,1,1,1,0}; and/or,
When M＝12, and u＝18, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,1,0,1}; and/or,
When M＝12, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,0,1,1,0,0,0}，{1,1,1,1,1,1,0,0,0,1,1,0}，{1,1,1,1,0,0,0,1,1,0,1,1}; and/or,
When M＝12, and u＝20, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,0,0,1,1,1,1,0}，{1,0,1,1,1,1,0,0,0,1,0,1}; and/or,
When M＝12, and u＝21, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,0,1,0,0,0}，{1,1,1,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,1,1,0}; and/or,
When M＝12, and u＝22, the sequence {b (i)} is the following sequence: {1,1,1,0,0,1,0,1,0,0,1,0}; and/or,
When M＝12, and u＝23, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,0,0,1,0,0,1,0}，{1,1,1,1,0,1,1,0,0,0,1,1}，{1,1,0,1,1,0,0,0,1,1,1,1}; and/or,
When M＝12, and u＝24, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,0,0,1,1,1,1,1,0}，{1,1,0,1,0,1,1,0,1,1,0,1}，{1,0,1,1,0,1,1,0,1,0,1,1}; and/or,
When M＝12, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,0,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0}，{1,0,1,0,1,1,1,0,0,1,0,0}; and/or,
When M＝12, and u＝26, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,1,1,0,0,0,0,0}，{1,1,0,1,1,1,1,0,0,0,0,0}，{1,1,1,0,0,0,0,1,0,0,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,0}，{1,0,0,1,1,1,1,1,0,0,0,0}，{1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,1,0,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,1,1,0,0,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,1,0,0,1,0,1,0,0}，{1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,0,1,0,1,1,1,0,1,0,0}，{1,0,1,0,0,1,0,1,1,1,0,0}，{1,0,0,0,0,1,1,1,1,1,0,0}，{1,1,0,1,1,0,1,0,0,0,1,0}，{1,1,0,1,0,1,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,0}，{1,0,0,1,1,1,0,1,0,0,1,0}，{1,0,0,1,0,1,1,1,0,0,1,0}，{1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,0,0,0,1,1,0}，{1,0,1,1,0,1,0,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,1,0}，{1,0,1,1,0,0,0,1,0,1,1,0}，{1,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,1,0,1,0,0,1,1,1,0}，{1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,0,1}，{1,0,1,1,1,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,0,0,0,0,1}，{1,0,1,0,1,1,0,1,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,0,0,1,0,1,0,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1}，{1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,0,0,1,0,1,0,0,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,1}，{1,0,0,0,1,0,1,1,0,1,0,1}，{1,1,1,0,0,0,0,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1}，{1,0,0,0,0,0,1,1,1,1,0,1}，{1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,1,1,0,0,0,0,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1}，{1,1,1,0,0,1,0,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,1,1}，{1,1,1,0,0,0,0,1,0,0,1,1}，{1,0,1,0,0,1,0,1,0,0,1,1}，{1,0,1,0,0,1,0,0,1,0,1,1}，{1,0,0,1,0,1,0,0,1,0,1,1}，{1,1,0,0,0,0,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,1}，{1,0,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,1,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1}，{1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,0,0,0,0,1,1,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,0,0,0,0,1,1,1,1}，{1,0,0,0,0,1,0,0,1,1,1,1}; and/or,
When M＝12, and u＝27, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,0,0,1,0,1,0}，{1,1,0,0,0,1,0,0,0,0,0,1}，{1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝12, and u＝28, the sequence {b (i)} is the following sequence: {1,1,0,1,0,0,0,1,1,0,1,0}; and/or,
When M＝12, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,1,0,0,1,1,1,1}; and/or,
When M＝18, and u＝0, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0}，{1,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,0,0}，{1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0}，{1,0,1,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0}，{1,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,1,0,1,0,0,1,1,0,1,1,0,1,0}，{1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,0}，{1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1}，{1,0,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1}，{1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,1}，{1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1}，{1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,0,1,1,1,0,1,1,1,0,1,0,1,1}，{1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,1,1}，{1,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1}，{1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}，{1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝18, and u＝1, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0}，{1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0}，{1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0}，{1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,0,1,1,0,1,1,1,1,1,1,1,0,1,1,1,0}，{1,1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,1,0,1}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,0,1}，{1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}; and/or,
When M＝18, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0}，{1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0}，{1,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,1,0,1,0}，{1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0}，{1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1,1,0}，{1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0}，{1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1,1,0}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0}，{1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0}，{1,1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,1,0}，{1,1,1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,0,0,1}，{1,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0,1}，{1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1}，{1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,1}，{1,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1}，{1,1,1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1}，{1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,1}，{1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,1,1}，{1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1}，{1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1}，{1,0,1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1}，{1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,1}; and/or,
When M＝18, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0,1,0}，{1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0}，{1,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,0}，{1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1}，{1,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1}，{1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1}，{1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1}，{1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1}，{1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝4, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0}，{1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,0,1,0,0,0,1,1,1,0,1,1,1,0,0,1,0}，{1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,0}，{1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1}，{1,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,1}，{1,1,1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1}，{1,0,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,1,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,1}，{1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,1}; and/or,
When M＝18, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0}，{1,1,1,0,1,1,0,1,1,1,1,0,0,1,0,0,0,0}，{1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0}，{1,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,0,0,0,1,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0}，{1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0}，{1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,0}，{1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1,0}，{1,1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0}，{1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0}，{1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,1,1,0}，{1,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0,1}，{1,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,0,1}，{1,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,1}，{1,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,1}，{1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝6, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0}，{1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0}，{1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,0}，{1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0}，{1,1,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0}，{1,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0}，{1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,1}，{1,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1}，{1,1,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1}，{1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,1,1}; and/or,
When M＝18, and u＝7, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0}，{1,0,0,1,1,0,1,0,1,0,1,1,0,0,1,0,0,0}，{1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,0}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,0,1,0}，{1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0}，{1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1,1,0}，{1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1}，{1,1,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,1}，{1,1,1,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1}，{1,1,1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1}，{1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,0,1,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,0,0,1,1,1,0,0,1,1,1,1,1}，{1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝8, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,1,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,1,0}，{1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0}，{1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0}，{1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0}，{1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0}，{1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,0,1,1,0}，{1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,1}，{1,1,0,0,1,1,1,0,0,1,0,1,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1}，{1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1}，{1,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1}，{1,0,1,1,1,0,1,0,0,1,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1,1}，{1,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1}，{1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}，{1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1}，{1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝9, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0}，{1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0}，{1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0}，{1,1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,0,1,1,0}，{1,1,0,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,0}，{1,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0}，{1,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0}，{1,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1}，{1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,1,1}，{1,1,1,0,0,1,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝10, the sequence {b (i)} is one of the following sequences: {1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0}，{1,1,1,1,1,0,1,0,1,0,1,1,1,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0}，{1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0}，{1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0,1,0}，{1,0,0,1,1,1,0,1,0,1,1,0,1,1,0,0,1,0}，{1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1,1,0}，{1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,1}，{1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,1,0,1}，{1,1,0,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1}，{1,1,1,0,1,1,1,0,1,1,0,0,0,1,1,0,1,1}，{1,1,1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝11, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,0,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,0,1,0,1,1,0,1,1,1,1,0,0,0,1,0,0,0}，{1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0}，{1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0}，{1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0}，{1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,0,1,0}，{1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,0}，{1,1,1,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1,1,0}，{1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0}，{1,0,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0}，{1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,1,0}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1}，{1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,0,1,0,1,1,0,1}，{1,0,0,0,1,1,1,1,1,1,1,0,1,0,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,0,1,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,0,0,1,1}，{1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1}，{1,0,0,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,0,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,0,1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1}，{1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝12, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0}，{1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0}，{1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0}，{1,0,1,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0}，{1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,0,0}，{1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,0}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,0}，{1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,0,1,0}，{1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0}，{1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0}，{1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0}，{1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0}，{1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1}，{1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1}，{1,1,0,0,0,0,1,1,0,1,1,1,1,0,0,1,1,1}，{1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,1,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1}，{1,0,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝13, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0}，{1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,0,0}，{1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0}，{1,0,1,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0}，{1,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0}，{1,1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0}，{1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0}，{1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0,1,0}，{1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0,1,0}，{1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,0}，{1,1,1,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0}，{1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0}，{1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0}，{1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0}，{1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1}，{1,1,1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,1,1}，{1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1}，{1,1,1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1}，{1,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1}，{1,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,0,1,1,1,0,0,1,0,0,1,0,1,1}，{1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,0,1,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,1,1}，{1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝14, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,0,0}，{1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,0}，{1,1,1,0,1,1,0,1,1,1,0,0,0,0,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,1,0}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0}，{1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1}，{1,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1}，{1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1}，{1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1}，{1,0,1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1}，{1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1}，{1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1}，{1,1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,1}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1}，{1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1}，{1,0,1,1,1,1,1,1,1,1,0,0,1,0,0,1,1,1}，{1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1}，{1,0,0,0,1,1,1,0,1,0,1,1,1,0,1,1,1,1}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝15, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0}，{1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0}，{1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0}，{1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0}，{1,1,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0}，{1,1,0,1,0,1,1,1,1,0,0,1,0,1,0,0,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0}，{1,0,0,1,0,0,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,0}，{1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,0,1,0,0,1,0}，{1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,0}，{1,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0}，{1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0}，{1,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0}，{1,1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,0}，{1,1,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1}，{1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1}，{1,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1}，{1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,1,0,1}，{1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,1,0,1}，{1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1}，{1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,1,1}，{1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1}，{1,0,0,1,1,1,0,1,1,1,1,1,1,1,0,0,1,1}，{1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1}，{1,0,0,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,0,1,1,1,0,1,1}，{1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,1,1}，{1,1,0,1,1,0,1,1,0,1,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝16, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0}，{1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,0}，{1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0}，{1,0,0,1,0,1,1,0,1,0,1,0,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,1,0,0}，{1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0}，{1,0,1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0}，{1,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0}，{1,0,0,0,0,1,0,0,0,1,1,0,1,1,1,1,0,0}，{1,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0}，{1,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0}，{1,0,0,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0}，{1,0,1,0,0,0,1,0,0,1,1,0,1,1,0,0,1,0}，{1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0,1,0}，{1,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,0,1,1,1,0,0,0,1,0,1,1,1,1,1,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1}，{1,1,0,0,0,1,1,1,0,1,0,1,0,0,0,1,0,1}，{1,1,1,0,0,0,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1}，{1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,1,1}，{1,0,0,1,0,1,1,1,1,1,1,1,0,0,0,0,1,1}，{1,0,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1}，{1,0,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1}，{1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,1,0,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,1}，{1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1,1}，{1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1}，{1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1}，{1,0,1,0,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,0,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1}，{1,0,1,0,1,1,0,1,1,0,1,1,1,0,1,1,1,1}，{1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝17, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,0,0,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0}，{1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,0}，{1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0}，{1,0,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0}，{1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0}，{1,0,0,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0}，{1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,1,0}，{1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,1,0}，{1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0}，{1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,1,1,0}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,0,1,1,0}，{1,0,0,1,0,1,0,0,0,0,0,0,1,1,0,1,1,0}，{1,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,1,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0}，{1,0,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1}，{1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1}，{1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,1}，{1,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1}，{1,0,1,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,1,1}，{1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,0,1,1}，{1,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1}，{1,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1}，{1,1,1,1,0,1,1,1,1,1,0,0,1,0,0,1,1,1}，{1,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1}，{1,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1}，{1,0,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝18, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,1,0,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0}，{1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0}，{1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0}，{1,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,0}，{1,0,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,0,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,1,1,1,1,0,1,1,1,0,0,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1}，{1,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1}，{1,1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1}，{1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,1,1,0,1,0,1,1,0,0,0,0,0,1,1,0,1,1}，{1,1,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1}，{1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1,1}，{1,0,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1}，{1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,0,0,0,1,1,1,1,0,1,1,0,1,0,1,0,0,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0}，{1,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,0,1,0}，{1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1,1,0}，{1,0,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1}，{1,0,1,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,0,1,0,1,0,1,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,0,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,1,0,0,1}，{1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0,1}，{1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1}，{1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1}，{1,1,1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,0,1,0,1,1,1,1,1,0,1}，{1,1,1,0,0,1,0,1,0,0,1,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1}，{1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,1,1,1}，{1,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1}，{1,0,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1}，{1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,1}，{1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1}，{1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝20, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,0}，{1,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0}，{1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0}，{1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0}，{1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0,1}，{1,1,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0,1}，{1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0,1}，{1,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,0,1}，{1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,0,0,1,0,1,0,0,1,1,1,0,1,0,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,0,0,1,1,0,1,1}，{1,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,0,1,0,0,0,0,0,1,1,1}，{1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1}，{1,0,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1}，{1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,1}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝21, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,0}，{1,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0}，{1,0,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,0,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,0}，{1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0}，{1,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0}，{1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,0,0,0,0,1,1,1,0,1,1,1,0,1,0,0}，{1,0,0,1,1,1,1,1,0,1,0,1,0,1,1,1,0,0}，{1,1,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0}，{1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0}，{1,0,0,1,1,1,1,1,0,1,0,1,1,1,1,1,0,0}，{1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,0}，{1,0,1,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0}，{1,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0}，{1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1,1,0}，{1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,1}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,1,1,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,1,1}，{1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,1}，{1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,0,1,1,1,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1}，{1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,1,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1}; and/or,
When M＝18, and u＝22, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,1,0,1,1,0,0,0,0}，{1,0,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0}，{1,0,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,0}，{1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0}，{1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,0}，{1,1,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0}，{1,0,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,0}，{1,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0}，{1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0}，{1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0}，{1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,1,1,1,1,0,0,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,0}，{1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,0}，{1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,0}，{1,0,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0}，{1,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1}，{1,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,1,1}，{1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1}，{1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1}; and/or,
When M＝18, and u＝23, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0}，{1,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,0}，{1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,0,0,0,0,1,0,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0}，{1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,1,1,0,0,0}，{1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1,0,0}，{1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0}，{1,1,0,1,1,0,1,0,1,0,0,0,1,0,0,0,1,0}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,0,0,1,0}，{1,1,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1,0}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0}，{1,0,1,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0}，{1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0}，{1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,1}，{1,1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1}，{1,1,0,1,1,1,0,1,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,1,1,1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,1,1,1,1,1,0,0,1,0,0,1,0,1,1,0,1}，{1,1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1}，{1,1,0,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1}，{1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1}，{1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,0,1,1}，{1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,1,0,1,1,1,1,1,1,0,0,0,1,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,0,1,1,1,0,1,1}，{1,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1,1,1}，{1,1,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝24, the sequence {b (i)} is one of the following sequences: {1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0}，{1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,1,0,1,1,0,1,1,1,1,0,1,1,1,1,0}，{1,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,1}，{1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1,1}，{1,1,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0}，{1,0,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,0}，{1,0,0,1,0,0,1,0,0,0,1,1,1,1,0,1,1,0}，{1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1,1,0}，{1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,0}，{1,0,0,1,0,0,1,0,1,1,1,1,0,1,1,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,1,1,1,1,1,0}，{1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,0,1,1,0,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1}，{1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,0,1}，{1,1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,1}，{1,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1}，{1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,0,1,1}，{1,0,1,1,1,1,0,0,1,0,0,0,1,0,0,1,1,1}，{1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,1,0,1,1,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}，{1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1}; and/or,
When M＝18, and u＝26, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0}，{1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0}，{1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,0}，{1,1,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,0,0,1,1,0,1,1,1,0,1,1,0,1,0,0}，{1,1,1,1,1,0,0,1,1,1,0,1,1,1,1,1,0,0}，{1,1,0,0,0,1,1,1,1,0,0,0,0,0,0,0,1,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,0}，{1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1,1,0}，{1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1}，{1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1}，{1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1}，{1,1,1,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1}，{1,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1}，{1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,0,1,1,0,0,0,1,1,0,1,0,1,0,1,1,1,1}，{1,0,1,1,0,1,1,0,1,0,1,1,1,0,1,1,1,1}; and/or,
When M＝18, and u＝27, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0}，{1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0,0}，{1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,0,0}，{1,0,1,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0}，{1,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0}，{1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0}，{1,1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0}，{1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,0,0,1,1,1,0,0,0,1,0}，{1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,0}，{1,0,0,1,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1}，{1,0,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1}，{1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,1,0,1,1,0,1,1,1,0,0,0,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,1}，{1,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1}，{1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝18, and u＝28, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0}，{1,0,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,1,1,0,0,0,1,0,1,1,0,0,0,0,0,1,0}，{1,0,1,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0}，{1,1,0,0,0,0,0,1,0,1,1,0,0,0,1,0,1,0}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,0}，{1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,1,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0}，{1,1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1}，{1,1,1,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1}，{1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1}，{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1}，{1,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1}，{1,1,0,0,1,0,1,1,1,0,0,0,1,0,0,1,0,1}，{1,1,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1}，{1,0,1,1,0,0,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1}，{1,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,1}，{1,1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1}，{1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1}，{1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,1}; and/or,
When M＝18, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,1,1,1,1,0,0,0,1,0,1,1,1,1,0,0,0}，{1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0}，{1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0}，{1,0,1,1,1,1,1,0,0,1,0,0,1,1,1,1,1,0}，{1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1}，{1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1}，{1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1}，{1,0,0,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1}，{1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,1,1}，{1,0,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝0, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0}，{1,1,1,1,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0}，{1,1,0,1,1,1,0,1,0,0,0,1,1,1,0,1,1,0,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0}，{1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,0}，{1,0,0,1,0,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,1,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,0,1,0,1,1}，{1,0,0,0,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1}，{1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝1, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0}，{1,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0}，{1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,0,0}，{1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0}，{1,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0}，{1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,0,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,0,1,0,0}，{1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1,0,0}，{1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,0}，{1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1,0}，{1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,1,0}，{1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1,1,0}，{1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1}，{1,0,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1}，{1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,1,1,0,1,0,1}，{1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,0,1}，{1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1}，{1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1,1,1,1}，{1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,1,1}，{1,0,0,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1}; and/or,
When M＝24, and u＝2, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0}，{1,0,0,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0}，{1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,0,1,0}，{1,0,1,1,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0}，{1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0}，{1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0}，{1,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0}，{1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0}，{1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,0,0,0,0,0,1}，{1,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,0,0,1,0,0,0,1}，{1,1,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0,0,0,1}，{1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,1,0,1,1,0,0,0,1}，{1,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,0,1,0,0,1}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1}，{1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,1,1,0,0,1}，{1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1,0,1}，{1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,0,1}，{1,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1}，{1,1,1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1}，{1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1,1,1}，{1,1,0,1,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0,1,1,1}，{1,0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1}，{1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,1,1}，{1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝3, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0}，{1,0,1,0,0,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,1,0,0,0}，{1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,0,1,0}，{1,1,1,0,0,0,0,1,1,0,0,0,0,0,1,1,0,0,1,0,1,0,1,0}，{1,0,0,1,0,1,1,1,1,1,0,1,0,0,0,0,1,1,0,0,0,1,1,0}，{1,0,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0}，{1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,1,1,1,0}，{1,1,1,0,1,0,0,1,1,1,0,1,0,0,1,1,1,1,1,0,1,1,1,0}，{1,1,1,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,0,1,0,0,1}，{1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1}，{1,1,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1}，{1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,1}，{1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,0,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,1,0,1}，{1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0,0,0,1,1,1,1,0,1}，{1,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,1}，{1,0,0,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,1,0,1,1}，{1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0,1,1}，{1,1,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1,1}，{1,0,1,1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,1}，{1,0,0,1,0,1,1,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1}，{1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,1,1,1}，{1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1}，{1,1,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝4, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,0,0,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0,0,0}，{1,1,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,0,0,1,0,0,0}，{1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0}，{1,1,0,1,1,1,1,0,1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,0,1,1,1,0,0,0}，{1,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,1,1,1,1,0,0,0}，{1,1,1,1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,0}，{1,0,1,0,1,0,0,1,0,1,1,0,1,1,0,1,1,0,1,1,1,1,0,0}，{1,0,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,1,0}，{1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0}，{1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0}，{1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,1,0}，{1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1}，{1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,0,1,1,1,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,0,1,1,1}，{1,1,0,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1,1}，{1,1,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝5, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0}，{1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0}，{1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0}，{1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0}，{1,1,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0}，{1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0}，{1,1,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,0}，{1,1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,1,1,0,0,0,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,1,1,0,1,0,1,0,1,0}，{1,0,0,0,0,1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1}，{1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1}，{1,0,1,1,1,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,1,1,0,0,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,0,0,1}，{1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,1,1,0,1}，{1,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1}，{1,1,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1}，{1,1,1,1,0,0,1,1,1,0,1,0,1,0,0,1,0,0,0,1,1,0,1,1}; and/or,
When M＝24, and u＝6, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,0,0,0,0,0}，{1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0}，{1,1,1,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1,0,0}，{1,1,1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0,0}，{1,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1,1,0,0}，{1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0,1,0}，{1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,1,0}，{1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,1,0}，{1,0,1,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0,1,0}，{1,1,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0}，{1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0}，{1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,1,0,1,1,0}，{1,0,1,1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,1,0,1,1,0}，{1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1,1,1,0}，{1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1,1,0}，{1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,1,1,1,1,0}，{1,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,1,0,0,1}，{1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1}，{1,0,1,0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1}，{1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,0,1,1,1,0,1}，{1,1,1,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,1}，{1,1,1,1,0,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1}，{1,0,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,1}，{1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝7, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0}，{1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0}，{1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0}，{1,0,1,1,1,0,0,0,0,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0}，{1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0}，{1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0}，{1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,0}，{1,0,1,0,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0}，{1,0,1,1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0}，{1,1,1,0,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1}，{1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1}，{1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,1,1,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,0,1,0,1}，{1,0,1,0,1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,1,0,1}，{1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,1,0,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1}，{1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1}，{1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1}，{1,1,0,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,0,0,1,1,1}，{1,1,1,1,0,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,1,1,1}，{1,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1}，{1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,1,1}，{1,1,1,1,0,0,1,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝8, the sequence {b (i)} is one of the following sequences: {1,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,1,1,0,0,1,0,1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0}，{1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0}，{1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0}，{1,0,0,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0}，{1,0,0,0,1,1,1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,0,1,0,0,1,0,1,0,0,0,1,1,0,1,1,0,0}，{1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,1,1,0,0,1,0,0,1,1,0,1,0,0,0,1,1,1,1,0,1,0}，{1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,1,0,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,0,0,1,1,1,0}，{1,1,0,1,1,0,0,0,0,0,0,1,1,1,0,1,0,1,0,0,1,1,1,0}，{1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1}，{1,1,1,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,1,0,1}，{1,1,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1}，{1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,1,1,0,1}，{1,1,0,1,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,1}，{1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,1,1}，{1,0,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1}，{1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1}，{1,1,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1}; and/or,
When M＝24, and u＝9, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0}，{1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,1,0,0}，{1,0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0}，{1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0}，{1,0,0,0,0,1,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0}，{1,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0}，{1,0,0,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,0,0,1,1,0}，{1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0}，{1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1,1,0}，{1,1,1,1,0,0,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,0,1}，{1,1,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,1,1,0,0,0,0,1}，{1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,0,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,0,0,0,1}，{1,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1}，{1,1,0,0,1,1,1,0,1,0,1,1,1,1,1,1,0,1,1,0,0,1,0,1}，{1,1,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,0,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0,1,0,1,1,0,1}，{1,0,1,0,0,0,1,0,1,1,0,1,0,0,0,1,1,1,1,0,0,0,1,1}，{1,0,0,1,0,1,0,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0,1,1}，{1,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1}，{1,0,1,1,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,0,1,1,0,0,0,0,0,1,1,0,1,0,1,0,1,1}，{1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1}，{1,1,1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1}，{1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,1,1}，{1,0,1,1,0,0,1,0,0,0,0,0,1,0,1,0,1,1,1,0,0,1,1,1}，{1,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝10, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0}，{1,1,0,0,0,1,0,0,0,0,0,1,0,1,0,1,1,0,0,1,0,0,0,0}，{1,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,0,0}，{1,1,0,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0}，{1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0}，{1,1,0,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0}，{1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0}，{1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0}，{1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,1,0,0,0,1,0}，{1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1,1,1,0,1,0}，{1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0}，{1,1,0,1,0,0,0,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,1,0}，{1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,1,1,0}，{1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0}，{1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0}，{1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,1,0,0,0,0,0,0,1}，{1,0,1,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1}，{1,0,0,0,1,1,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1}，{1,1,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,1,0,0,0,0,1}，{1,0,0,0,1,1,0,1,1,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1}，{1,0,1,1,0,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,0,0,1}，{1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0,1}，{1,1,0,0,0,0,0,1,0,1,0,0,1,0,1,1,0,1,1,1,1,0,0,1}，{1,0,1,1,0,1,0,1,0,1,1,1,0,0,1,0,1,1,1,0,0,1,0,1}，{1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,1,1,1,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1}，{1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1}，{1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,0,1,1}，{1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,1,0,1,1,1}，{1,0,0,1,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,1,1,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1,1}; and/or,
When M＝24, and u＝11, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0}，{1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,0,0,0}，{1,1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0}，{1,0,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0}，{1,0,1,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,0,0,1,0,0}，{1,0,1,0,1,0,0,1,0,0,1,1,1,0,1,0,1,1,1,0,0,1,0,0}，{1,0,1,1,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,0,1,0}，{1,0,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0}，{1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,1,1,1,0,0,1,0,1,0}，{1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1,1,1,0,1,0,1,0}，{1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0}，{1,1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,0,1}，{1,1,1,0,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,0,1,0,0,1}，{1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1}，{1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1,0,1}，{1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1,1}，{1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝12, the sequence {b (i)} is one of the following sequences: {1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,0,0,0}，{1,1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,0}，{1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0}，{1,1,0,1,0,0,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0,0,0}，{1,0,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,1,1,0,1,0,1,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0,0}，{1,1,1,1,1,1,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0}，{1,0,1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,1,1,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0}，{1,0,1,0,1,1,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1}，{1,0,1,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,1,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1}，{1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1}，{1,1,0,1,1,1,0,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1}，{1,0,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,1,0,0,0,0,1,0,1,0,0,1,0,1}，{1,1,0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1}，{1,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,1,0,1,0,1}，{1,1,0,1,1,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1}，{1,1,0,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,1,0,1}，{1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1,0,1,0,1,1}，{1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,1,1}; and/or,
When M＝24, and u＝13, the sequence {b (i)} is one of the following sequences: {1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0}，{1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,0,1,0,0,0,0,1,0,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0}，{1,1,1,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,1,1,0,0,0}，{1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,1,1,1,0,0,0}，{1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0}，{1,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0}，{1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0}，{1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0}，{1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,1,1,1,0,1,0,1,0,0}，{1,1,0,1,0,1,1,1,1,0,1,0,0,1,1,0,1,1,1,1,0,1,0,0}，{1,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0}，{1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0}，{1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0}，{1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0}，{1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0}，{1,0,0,1,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,0}，{1,0,0,0,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1}，{1,1,0,0,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0,0,0,1}，{1,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,0,1,1,0,1,1,0,1,0,0,0,0,0,1}，{1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,1,0,1,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1}，{1,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1,0,1}，{1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,1}，{1,0,0,0,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,1,1}，{1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1}，{1,1,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,1,1,0,0,1,1,1}，{1,0,0,0,1,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝14, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0}，{1,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0}，{1,1,1,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,1,0,1,0,0,0}，{1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0}，{1,1,1,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0}，{1,0,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0}，{1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,1,1,0,1,0,1,0,0}，{1,0,0,0,1,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1,1,1,0,0}，{1,1,0,0,0,1,0,1,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,0}，{1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,0,1,1,0,1,1,0,1,0}，{1,1,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,1,0}，{1,1,0,1,1,0,1,0,0,0,1,1,1,1,1,1,0,1,1,0,1,1,1,0}，{1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0}，{1,0,1,1,0,0,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,1,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0,1}，{1,1,0,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,1,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,1,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,1,0,1,0,1,1,0,0,1,0,1}，{1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,0,1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0,1,1,1,1,1}; and/or,
When M＝24, and u＝15, the sequence {b (i)} is one of the following sequences: {1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,0,1,0,0}，{1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0}，{1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0}，{1,0,0,0,1,1,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,1,0}，{1,1,1,1,1,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,1,0,1,0}，{1,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,1,1,1,1,0}，{1,1,1,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,0,1}，{1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,0,1}，{1,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1}，{1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,1}，{1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,1,1}，{1,1,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝16, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,0,0}，{1,1,1,0,0,1,0,1,0,1,1,1,0,1,0,1,1,0,1,1,0,0,0,0}，{1,1,0,1,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0}，{1,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0}，{1,0,1,0,1,1,1,1,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0}，{1,1,1,0,0,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,0,0,0}，{1,0,0,1,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0}，{1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,1,0}，{1,1,0,0,0,1,0,0,0,1,1,0,1,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,0}，{1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,1,0}，{1,1,1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,1,1,0}，{1,1,1,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,1,0,0,1,1,1,1,0,1,0,1,1,1,1,0,0,1,0,1}，{1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,1}，{1,0,0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,1,0,1}，{1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,1,0,0,1,0,0,0,0,1,1,1,0,1,1,1,1,1,0,1,1,0,1}，{1,1,1,0,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0,0,1,1,1}，{1,1,0,1,1,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,1,1}，{1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,1,0,1,1,1}，{1,0,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0,1,0,0,1,1,1,1}，{1,0,1,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1}; and/or,
When M＝24, and u＝17, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,0}，{1,0,0,0,0,1,0,0,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0}，{1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,0,0,0}，{1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,1,0,0}，{1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,1,1,0,0}，{1,1,1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0}，{1,1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,1,1,1,1,0,0}，{1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,1,0}，{1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1,1,0}，{1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,0,1,0,1,1,1,0}，{1,0,1,0,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0}，{1,0,0,0,1,1,0,1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,0}，{1,1,0,0,1,0,1,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1}，{1,0,1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0,1,1,0,0,0,1}，{1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1}，{1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0,1}，{1,0,1,1,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,1,1,0,1}，{1,1,1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,1,1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,0,0,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,0,0,1,1}，{1,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1}，{1,1,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,1,1,1,0,0,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1}，{1,0,1,0,0,1,1,1,0,1,0,1,0,0,1,1,0,1,1,0,1,0,1,1}，{1,0,1,1,0,0,0,0,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1}，{1,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1,1,0,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,1}，{1,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,1,1}，{1,0,1,1,1,1,1,0,0,1,1,1,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝18, the sequence {b (i)} is one of the following sequences: {1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,0,0,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0}，{1,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0}，{1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0}，{1,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0}，{1,0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0}，{1,1,1,0,0,1,0,1,0,1,0,0,0,1,0,0,1,1,1,1,1,0,0,0}，{1,1,0,1,1,1,0,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0}，{1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0}，{1,0,0,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0}，{1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1,0,0}，{1,1,1,1,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,1,0}，{1,1,0,0,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0}，{1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1,1,0}，{1,1,0,0,1,1,1,0,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,1}，{1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1}，{1,1,0,1,1,0,1,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1}，{1,1,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1}，{1,1,0,0,1,0,1,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1}，{1,0,1,1,1,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,1}，{1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,1,1,0,0,1,0,1}，{1,0,1,1,0,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,0,1,0,1}，{1,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,0,1,0,1}，{1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,0,1}，{1,0,0,1,0,0,1,1,1,0,1,1,1,1,1,0,1,0,0,0,1,0,1,1}，{1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,1,1,0,1,1}，{1,0,0,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1}，{1,0,0,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝19, the sequence {b (i)} is one of the following sequences: {1,0,0,1,1,1,1,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0}，{1,1,1,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,0,0}，{1,0,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0,0,0}，{1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0}，{1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0}，{1,0,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0}，{1,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,0,0}，{1,0,1,0,0,0,0,1,0,0,0,1,1,1,0,0,1,0,1,1,1,0,0,0}，{1,0,1,1,1,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0}，{1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0}，{1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,1,1,1,1,1,0,0}，{1,0,1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0}，{1,1,1,0,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0}，{1,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,0,0,1,0}，{1,1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,0}，{1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0}，{1,1,0,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,0,1,1,1,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,0,1,1,1,0,1}，{1,0,0,0,0,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,1,0,1}，{1,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1}，{1,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,1,1,1,1,1,1,0,1}，{1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,1,0,1,0,0,1,1}，{1,1,1,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,1}，{1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1}，{1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,0,1,1,1,0,1,1}，{1,1,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,1,0,0,1,0,0,1,1,1,1,0,1,1}，{1,1,0,0,1,0,0,0,0,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1}，{1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,1,1,1}，{1,1,1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1}，{1,1,0,1,1,1,1,0,0,1,0,0,0,1,1,1,1,1,0,0,1,1,1,1}，{1,1,1,0,0,1,1,1,1,1,0,1,1,0,1,1,0,0,1,1,1,1,1,1}，{1,0,1,1,1,0,1,1,1,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝20, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0}，{1,1,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0}；1,0,1,0,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0}，{1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0,1,0,0}，{1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0}，{1,1,0,0,1,0,1,1,1,0,0,0,0,1,1,1,0,1,0,1,0,1,1,0}，{1,1,0,1,1,1,0,1,1,0,1,1,1,1,1,0,0,0,0,0,1,1,1,0}，{1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1}，{1,0,0,0,1,1,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,0,0,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,0,1,0,0,1,0,1,1,1,1,1,0,1,0,1,0,0,1}，{1,1,0,0,0,1,0,1,0,1,1,1,0,1,0,1,0,0,1,1,1,0,0,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,1,1,0,0,1}，{1,1,0,0,1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,1,1,0,0,1}，{1,0,1,0,0,1,1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,1}，{1,1,0,0,0,0,1,1,1,1,1,0,0,1,1,1,1,0,1,1,0,1,0,1}，{1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,0,1,1,1,0,1}，{1,0,0,0,0,1,0,0,1,1,1,1,0,1,1,1,1,1,0,1,1,1,0,1}，{1,1,1,0,1,1,0,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,1}，{1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1}，{1,1,0,1,0,0,1,1,1,1,0,0,0,1,1,1,1,0,1,0,0,1,1,1}，{1,0,0,1,0,1,0,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,1}，{1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝21, the sequence {b (i)} is one of the following sequences: {1,0,0,0,1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,0,0,0,0}，{1,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0}，{1,0,1,0,0,1,1,1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0}，{1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,1,1,1,1,0,0,0}，{1,1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0}，{1,0,0,1,0,1,1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0,1,0}，{1,0,1,1,0,0,1,0,0,1,0,0,0,1,1,0,1,1,1,0,1,0,1,0}，{1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,1,1,0}，{1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0}，{1,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1,1,0,1,1,0}，{1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0}，{1,1,1,0,1,0,1,1,0,0,1,0,1,1,1,1,1,0,0,1,1,1,1,0}，{1,1,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1}，{1,0,1,0,1,0,0,0,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1}，{1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,1,1,1,0,1}，{1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1}，{1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,1,1,1,0,0,0,0,1,1}，{1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,1,0,1,1}，{1,1,0,0,1,0,0,1,0,0,1,0,1,0,1,1,1,0,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,0,1,0,0,0,1,1,1}，{1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1}，{1,1,0,0,1,1,1,0,0,0,1,0,0,1,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝22, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0}，{1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0}，{1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1,1,1,0,1,1,0,0,0}，{1,0,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,1,1,1,1,0,0,0}，{1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,1,1,1,1,0,0,0,1,0}，{1,1,1,1,0,0,1,1,1,1,1,0,1,1,1,0,1,0,0,1,1,0,1,0}，{1,0,1,1,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1,1,0}，{1,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,1,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0}，{1,1,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,1,1,0}，{1,1,1,1,0,0,0,1,0,1,0,0,1,0,0,1,1,1,0,1,1,1,1,0}，{1,1,0,0,1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,0,0,0,1}，{1,1,0,1,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1}，{1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,1,1,1,0,0,0,0,1,0,0,0,1}，{1,0,1,0,1,0,0,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,1}，{1,1,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1}，{1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1}，{1,0,1,1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1}，{1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,1,1,0,1}，{1,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,1,0,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0,1,0,1,1,1,0,1}，{1,1,0,0,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1,1}，{1,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,1,1}，{1,1,1,0,0,1,0,0,1,1,1,0,1,0,1,1,0,1,0,0,0,1,1,1}; and/or,
When M＝24, and u＝23, the sequence {b (i)} is one of the following sequences: {1,1,0,0,0,1,1,0,0,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0}，{1,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0}，{1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0}，{1,0,1,0,0,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,0,0,0,0}，{1,0,1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0}，{1,0,1,0,1,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0}，{1,0,1,0,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1,1,1,0,0,0}，{1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,0,0,0,1,0,1,0}，{1,0,1,1,0,0,0,1,1,0,1,0,0,1,1,1,0,0,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0,1,0}，{1,1,0,0,1,1,1,1,0,1,0,1,0,1,1,0,0,1,0,1,1,0,1,0}，{1,0,1,1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,0,1,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1,1,0}，{1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0}，{1,1,0,1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0}，{1,0,1,1,0,1,0,0,0,1,1,0,1,1,0,0,0,1,1,1,1,1,1,0}，{1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,0,1,1,0,1,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,0,0,1,0,0,1}，{1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,0,1,0,1,0,0,1}，{1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1,1,0,0,1}，{1,1,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,1,0,1}，{1,1,0,0,0,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1}，{1,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1,1,1,0,1}，{1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,1,1,1,1,1,0,1}，{1,1,1,1,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,1}，{1,1,0,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1}，{1,0,1,0,1,0,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,1}，{1,1,0,0,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0,1,1,1,1,1}，{1,0,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,0,1,1,1,1,1,1}，{1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝24, the sequence {b (i)} is one of the following sequences: {1,0,0,0,0,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0}，{1,1,1,0,1,0,1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,0,0,0}，{1,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,0}，{1,0,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0}，{1,1,1,0,0,0,1,0,0,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0}，{1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0}，{1,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0,1,0,0,0}，{1,0,1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0}，{1,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0}，{1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,0,0,0,1,0,1,1,0,0}，{1,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0}，{1,0,0,1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,0,1,0}，{1,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0}，{1,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,0}，{1,0,0,1,1,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,0,0,1,0}，{1,1,0,1,1,1,1,1,0,1,1,1,0,1,1,1,0,0,0,1,1,0,1,0}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0}，{1,0,0,1,1,1,1,0,1,0,1,1,0,0,0,0,1,1,1,1,0,1,1,0}，{1,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,1,1,1,0}，{1,1,0,1,1,0,0,1,0,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0}，{1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,1,1,1,0}，{1,1,1,0,0,1,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,1}，{1,1,0,0,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0,1,0,0,0,1}，{1,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1,0,1,0,0,1}，{1,1,1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,0,1,0,1}，{1,1,0,1,0,1,1,1,0,0,1,0,1,0,1,0,0,1,1,0,1,1,0,1}，{1,1,0,1,0,1,1,1,0,0,0,1,1,1,1,1,0,1,1,0,1,1,0,1}，{1,1,0,1,0,0,0,1,0,0,0,1,1,1,1,0,1,1,1,0,1,1,0,1}，{1,0,1,1,0,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,0,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,0,0,1,1}，{1,1,1,0,0,1,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,0,1,1}，{1,0,0,0,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,1,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,1,1,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,0,0,1,0,1,1}，{1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,1,0,1,1,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,1,1,1}; and/or,
When M＝24, and u＝25, the sequence {b (i)} is one of the following sequences: {1,1,0,1,1,1,1,1,0,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0}，{1,0,0,0,1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,0}，{1,1,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,1,0,1,0,0}，{1,0,1,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,0,1,1,1,0,0}，{1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0}，{1,0,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,1,1,0,0}，{1,1,1,0,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,0,1,0}，{1,0,0,1,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0}，{1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,0}，{1,1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,1,1,1,0,1,0,1,0}，{1,1,0,1,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,1,1,0,1,0}，{1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,0}，{1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1,1,0}，{1,1,0,0,0,1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,0}，{1,1,0,0,0,1,0,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,0,1}，{1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0,0,1}，{1,0,1,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,0,0,0,1,0,1}，{1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1}，{1,0,1,0,0,1,1,0,1,0,1,1,1,1,0,0,1,1,0,1,0,1,0,1}，{1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,0,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,0,1}，{1,0,1,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,1,1,0,1}，{1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1}，{1,1,1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1}，{1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1}，{1,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,1,0,1,1}，{1,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,0,1,1,1,0,1,1}，{1,0,1,0,0,1,0,0,1,0,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,1,1,1,1,0,1,1,1}，{1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1,1,1,1,1,1}，{1,0,0,1,0,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,1,1}; and/or,
When M＝24, and u＝26, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0}，{1,0,0,1,0,0,1,1,0,1,0,1,0,1,1,0,0,0,1,0,1,0,0,0}，{1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,0,1,1,1,1,1,0,0,0}，{1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0}，{1,0,0,0,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0}，{1,0,0,1,1,1,1,0,1,0,1,1,1,1,1,0,0,0,1,1,0,1,0,0}，{1,0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0}，{1,0,0,1,1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0}，{1,1,1,1,1,0,1,0,0,1,0,1,1,0,0,0,1,1,1,1,0,0,1,0}，{1,1,0,1,0,1,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0}，{1,1,0,0,0,0,0,1,0,0,1,0,0,1,1,1,1,1,0,1,1,0,1,0}，{1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1,0,1,1,0}，{1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1,1,0}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,0,1,1,0,1,1,0}，{1,1,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,0}，{1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,1,1,1,0}，{1,1,1,0,0,0,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0}，{1,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,0,1}，{1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1}，{1,1,1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1}，{1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,0,0,1}，{1,1,0,1,1,0,1,1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1}，{1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,0,1}，{1,0,1,1,1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0,1,1,0,1}，{1,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,1,1,0,1}，{1,1,1,0,1,0,1,1,1,0,1,1,1,1,0,0,0,1,1,0,1,1,0,1}，{1,0,1,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,0,1,1,0,1}，{1,0,1,0,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1,1,1,1,0,1}，{1,0,0,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,0,0,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,0,1,1,1,0,0,0,1,1}，{1,1,0,1,0,1,1,1,1,0,0,0,0,1,1,0,1,1,0,1,0,0,1,1}，{1,1,0,0,0,1,0,1,1,0,1,0,0,1,1,1,1,1,0,1,0,0,1,1}，{1,1,1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1}，{1,1,1,0,0,1,0,1,1,0,0,0,0,0,1,1,1,1,1,1,0,0,1,1}，{1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,1,1}，{1,1,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,0,1,1,1}，{1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,1,1,1,0,0,0,1,1,1}，{1,0,0,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0,0,0,1,1,1,1}，{1,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1}; and/or,
When M＝24, and u＝27, the sequence {b (i)} is one of the following sequences: {1,1,1,0,1,1,1,0,0,1,0,1,1,1,0,1,1,1,0,0,0,0,0,0}，{1,0,0,1,0,0,1,0,1,0,0,1,0,1,0,0,1,1,1,1,1,0,0,0}，{1,0,1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0}，{1,1,1,0,1,0,1,0,0,1,1,1,0,0,0,1,0,0,1,0,0,0,1,0}，{1,0,1,0,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0}，{1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,0}，{1,1,0,0,1,0,1,0,0,1,0,1,0,1,0,1,0,0,1,0,0,1,1,0}，{1,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,0,1,0,1,0,1,1,0}，{1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0}，{1,0,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1,1,0}，{1,1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0}，{1,1,0,0,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1,1,1,0}，{1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,0,1,1,0,0,0,0,0,1}，{1,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,1}，{1,1,1,1,0,0,0,1,1,0,1,1,0,0,0,0,1,0,1,0,0,0,0,1}，{1,1,0,1,1,1,0,0,0,1,1,1,0,0,0,0,0,1,0,1,0,0,0,1}，{1,1,0,0,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,0,1}，{1,0,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0,0,1,0,1,0,0,1}，{1,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1}，{1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1}，{1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1}，{1,0,1,1,1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1}，{1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,1}，{1,1,1,0,1,1,0,1,1,0,1,1,1,0,0,0,1,0,1,1,0,1,0,1}，{1,1,0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,1,1,0,1,0,1}，{1,0,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,1,1,1,0,1}，{1,1,1,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,1}，{1,0,0,0,1,1,1,1,1,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1}，{1,0,1,1,1,1,1,0,1,1,0,1,1,0,1,1,0,1,0,1,1,0,1,1}，{1,1,0,0,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0,1,0,1,1,1}，{1,1,1,0,1,1,1,0,1,1,0,1,1,0,0,1,0,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝28, the sequence {b (i)} is one of the following sequences: {1,0,1,1,0,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0}，{1,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0}，{1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1,0,1,0}，{1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,1,1,0,0,0,1,1,0}，{1,1,0,1,1,1,1,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1,1,0}，{1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,1,0,1,0,1,1,0}，{1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,1,1,0,1,1,1,0}，{1,1,1,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0,1,1,1,1,0}，{1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1}，{1,0,1,0,1,1,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1}，{1,1,1,1,0,0,1,1,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1}，{1,0,0,0,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0,0,1}，{1,1,1,1,1,1,0,1,0,1,1,0,1,1,1,0,1,1,0,0,1,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,1,1,0,0,0,1,0,1,0,1,0,0,1}，{1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1}，{1,0,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,1}，{1,0,0,0,1,0,1,1,0,0,1,0,0,1,0,1,0,0,0,1,0,1,0,1}，{1,1,1,0,0,0,1,1,1,1,0,1,1,0,0,0,1,1,0,1,0,1,0,1}，{1,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,1,1,0,1,0,1,0,1}，{1,0,1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,1,0,1}，{1,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,1,0,1}，{1,0,0,0,0,0,1,1,1,0,0,0,0,1,0,0,1,1,1,1,1,1,0,1}，{1,0,1,1,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,0,1,0,1,1}，{1,1,0,1,1,0,1,1,0,0,0,1,0,1,1,1,1,0,0,0,1,0,1,1}，{1,0,1,1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,1}，{1,1,1,1,0,0,1,1,1,0,0,1,0,1,1,0,1,1,1,0,1,0,1,1}，{1,0,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,1,0,1,1}，{1,0,1,1,1,0,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,1,1}，{1,1,0,1,1,1,0,0,0,1,1,1,0,1,1,1,0,0,0,0,0,1,1,1}，{1,1,0,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,1,0,1,1,1,1}，{1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,0,0,1,1,1,1,1}，{1,0,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,0,1,1,1,1,1,1}，{1,0,0,1,1,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,1,1}; and/or,
When M＝24, and u＝29, the sequence {b (i)} is one of the following sequences: {1,0,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,1,1,1,1,0,0,0}，{1,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,1,0,0}，{1,0,0,1,0,1,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,0,1,0}，{1,0,0,1,1,1,1,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0}，{1,0,0,1,1,1,1,1,0,1,0,0,1,1,1,0,1,1,0,1,1,0,1,0}，{1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0}，{1,1,1,0,1,1,1,0,1,0,1,1,0,1,0,0,1,0,0,0,0,1,1,0}，{1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0}，{1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,0,1,0,0,0,1,1,0}，{1,0,0,1,1,1,0,1,0,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0}，{1,0,1,0,0,1,0,0,1,1,1,1,0,0,0,1,1,1,0,1,0,1,1,0}，{1,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1}，{1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,0,1}，{1,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,0,0,1}，{1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,1,0,0,0,0,1,0,0,1}，{1,1,0,1,1,1,1,0,1,1,0,1,0,0,1,0,1,0,0,0,1,0,0,1}，{1,1,1,0,1,1,1,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,0,1}，{1,1,0,1,1,1,0,1,1,1,1,1,0,0,0,0,1,1,1,0,1,0,0,1}，{1,0,1,0,1,0,0,0,0,0,1,1,1,1,0,0,1,1,1,1,1,0,0,1}，{1,0,0,1,0,1,0,0,1,1,1,1,0,0,0,1,0,0,0,1,0,1,0,1}，{1,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,1,1,1,0,1,0,1}，{1,1,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,0,1,1,1}，{1,0,0,0,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,1,1,1}，{1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,1,0,0,1,0,1,1,1,1}，{1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,1,1,1,1,1}。
20. The signal processing method according to claim 18 or 19, wherein the sequence { y } u (i) And the sequence r u (i) R, said sequence r u (i) Consists of M elements, r u (i) Is the sequence r u (i) Of the sequence { r }, the sequence { r } u (i) Satisfy r u (i)＝B×t(i)×j i Or r u (i)＝B×t(i)×j imod2 (ii) a B is a non-zero complex number, the element t (i) = β × (1-2 × d (i)), β is a non-zero complex number, the elements d (i) constitute the sequence { d (i) };
wherein, when M =12 and u =0, the sequence { d (i) } is: {0,0,0,0,0,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =1, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =2, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =3, the sequence { d (i) } is: {1,1,0,1,1,0,1,0,1,0,0,0}; and/or the presence of a gas in the atmosphere,
when M =12 and u =4, the sequence { d (i) } is: {1,1,0,0,1,0,1,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =5, the sequence { d (i) } is: {1,0,1,1,0,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =6, the sequence { d (i) } is: {0,0,0,1,0,0,1,0,0,0,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =7, the sequence { d (i) } is: {0,1,0,0,0,1,0,0,1,0,0,0}; and/or the presence of a gas in the gas,
When M =12 and u =8, the sequence { d (i) } is: {1,0,1,1,1,1,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =9, the sequence { d (i) } is: {1,0,1,1,0,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =10, the sequence { d (i) } is: {1,0,1,1,0,1,0,0,0,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =11, the sequence { d (i) } is: {1,0,1,0,0,1,0,0,1,0,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =12, the sequence { d (i) } is: {1,1,0,0,0,0,0,1,1,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =13, the sequence { d (i) } is: {0,1,0,0,0,1,1,0,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =14, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =15, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =16, the sequence { d (i) } is: {0,0,1,0,0,1,0,0,0,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =17, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,1,1,1,0}; and/or the presence of a gas in the gas,
when M =12 and u =18, the sequence { d (i) } is: {0,0,0,1,1,1,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =19, the sequence { d (i) } is: {1,0,0,0,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
When M =12 and u =20, the sequence { d (i) } is: {0,1,1,1,1,0,1,0,1,1,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =21, the sequence { d (i) } is: {0,1,1,1,0,1,0,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =12 and u =22, the sequence { d (i) } is: {0,1,1,1,1,1,0,0,1,0,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =23, the sequence { d (i) } is: {0,1,1,1,0,0,0,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =24, the sequence { d (i) } is: {0,0,1,1,1,1,1,1,1,1,0,0}; and/or the presence of a gas in the gas,
when M =12 and u =25, the sequence { d (i) } is: {0,1,1,1,0,0,1,1,0,1,0,0}; and/or the presence of a gas in the atmosphere,
when M =12 and u =26, the sequence { d (i) } is: {0,1,1,1,0,1,1,1,0,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =12 and u =27, the sequence { d (i) } is: {0,1,1,1,1,1,1,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =12, and u =28, the sequence { d (i) } is: {0,1,1,1,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =12 and u =29, the sequence { d (i) } is: {0,1,1,1,0,1,1,1,1,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =0, the sequence { d (i) } is: {0,0,0,0,0,1,0,0,0,1,1,1,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =1, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
When M =18, and u =2, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,1,0,1,1,1,0,1,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =3, the sequence { d (i) } is: {0,1,0,1,1,0,1,1,0,0,0,1,1,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =4, the sequence { d (i) } is: {1,1,0,1,0,0,1,0,1,0,1,0,0,1,1,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =5, the sequence { d (i) } is: {0,1,0,1,0,1,1,1,0,0,1,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =6, the sequence { d (i) } is: {0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =7, the sequence { d (i) } is: {0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =8, the sequence { d (i) } is: {0,0,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,1}; and/or the presence of a gas in the atmosphere,
when M =18, and u =9, the sequence { d (i) } is: {1,0,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =10, the sequence { d (i) } is: {1,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =11, the sequence { d (i) } is: {1,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =12, the sequence { d (i) } is: {1,0,0,0,1,0,1,0,1,0,0,0,1,1,0,1,0,1}; and/or the presence of a gas in the gas,
When M =18, and u =13, the sequence { d (i) } is: {1,0,1,1,0,1,0,1,1,1,0,0,0,0,0,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =18, and u =14, the sequence { d (i) } is: {0,0,0,0,0,1,1,1,0,1,1,0,1,0,1,1,0,0}; and/or the presence of a gas in the atmosphere,
when M =18, and u =15, the sequence { d (i) } is: {0,0,1,1,1,0,1,1,0,1,0,0,0,1,1,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =16, the sequence { d (i) } is: {0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =17, the sequence { d (i) } is: {0,1,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =18, the sequence { d (i) } is: {0,0,1,0,0,1,1,1,1,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =19, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =20, the sequence { d (i) } is: {0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =21, the sequence { d (i) } is: {1,1,1,1,0,1,0,1,1,1,1,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =18, and u =22, the sequence { d (i) } is: {1,0,0,1,0,0,0,1,0,0,1,1,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =18, and u =23, the sequence { d (i) } is: {0,0,1,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1}; and/or the presence of a gas in the gas,
When M =18, and u =24, the sequence { d (i) } is: {1,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =25, the sequence { d (i) } is: {1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0}; and/or the presence of a gas in the gas,
when M =18, and u =26, the sequence { d (i) } is: {0,1,1,1,1,1,1,1,0,0,1,0,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =27, the sequence { d (i) } is: {0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =28, the sequence { d (i) } is: {0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =18, and u =29, the sequence { d (i) } is: {0,1,1,1,0,1,1,0,1,0,1,1,1,0,1,1,0,0}; and/or the presence of a gas in the gas,
when M =24, and u =0, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,0,0,1,0,0,1,0,0,1}; and/or the presence of a gas in the gas,
when M =24, and u =1, the sequence { d (i) } is: {0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,1,1,0,0,0,1,1,0}; and/or the presence of a gas in the atmosphere,
when M =24, and u =2, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,1,1,1,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =3, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,1}; and/or the presence of a gas in the gas,
When M =24, and u =4, the sequence { d (i) } is: {1,0,0,1,1,1,1,1,0,1,1,0,1,1,1,0,1,1,0,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =5, the sequence { d (i) } is: {1,0,1,0,1,1,0,1,1,0,0,1,1,1,1,1,0,0,1,1,0,1,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =6, the sequence { d (i) } is: {0,1,1,0,0,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =7, the sequence { d (i) } is: {1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,1,1,1,0,0,1,1,0,1}; and/or the presence of a gas in the gas,
when M =24, and u =8, the sequence { d (i) } is: {0,0,1,0,0,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =9, the sequence { d (i) } is: {0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,1,0,0,0,1,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =10, the sequence { d (i) } is: {1,0,1,0,0,0,1,1,1,0,0,1,1,1,1,0,1,1,1,1,0,0,1,0}; and/or the presence of a gas in the atmosphere,
when M =24 and u =11, the sequence { d (i) } is: {0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,0,1,0}; and/or the presence of a gas in the gas,
when M =24, and u =12, the sequence { d (i) } is: {1,0,1,0,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =13, the sequence { d (i) } is: {1,0,1,0,0,1,1,0,1,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0}; and/or the presence of a gas in the gas,
When M =24, and u =14, the sequence { d (i) } is: {1,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,1,0,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =15, the sequence { d (i) } is: {1,0,0,1,0,1,0,0,1,1,0,0,0,0,1,1,1,1,1,1,1,0,0,1}; and/or the presence of a gas in the gas,
when M =24, and u =16, the sequence { d (i) } is: {0,0,0,1,1,1,1,0,0,1,0,1,0,0,1,1,1,0,1,1,1,0,0,1}; and/or the presence of a gas in the gas,
when M =24, and u =17, the sequence { d (i) } is: {1,1,0,1,0,1,1,1,0,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0}; and/or the presence of a gas in the gas,
when M =24, and u =18, the sequence { d (i) } is: {0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,0,0,1}; and/or the presence of a gas in the gas,
when M =24 and u =19, the sequence { d (i) } is: {1,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =20, the sequence { d (i) } is: {0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0}; and/or the presence of a gas in the gas,
when M =24 and u =21, the sequence { d (i) } is: {0,1,1,0,1,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =22, the sequence { d (i) } is: {1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,1,1}; and/or the presence of a gas in the atmosphere,
When M =24 and u =23, the sequence { d (i) } is: {1,0,0,1,1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =24, the sequence { d (i) } is: {1,0,0,0,1,1,0,1,0,1,0,0,1,0,0,1,1,1,1,1,1,0,0,0}; and/or the presence of a gas in the gas,
when M =24, and u =25, the sequence { d (i) } is: {1,0,1,0,1,1,0,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =24, and u =26, the sequence { d (i) } is: {0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,1,1,0,0,1,0,0}; and/or the presence of a gas in the gas,
when M =24 and u =27, the sequence { d (i) } is: {0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24, and u =28, the sequence { d (i) } is: {0,1,0,0,0,1,1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,1}; and/or the presence of a gas in the gas,
when M =24 and u =29, the sequence { d (i) } is: {0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,1,0,0,1,1}.
21. The signal processing method according to any of claims 18-20, wherein the receiving a second signal comprises:
and acquiring the second signal on continuous M subcarriers, or acquiring the second signal on equally spaced M subcarriers.
22. The signal processing method according to any of claims 18-21, wherein the acquisition sequence { y } u (i) M elements of (a) }, comprising:
acquisition sequence g u (i) M elements of said sequence { g } of said second signal u (i) Is mapped onto M sub-carriers to generate g u (i) Is the sequence g u (i) The elements in (1);
for the sequence { g u (i) M elements in the sequence are subjected to inverse discrete Fourier transform processing to obtain a sequence y u (i) M elements of (j).
23. A signal processing arrangement, characterized in that the signal processing arrangement comprises means or modules for performing the method according to any of claims 1 to 6.
24. A signal processing apparatus, characterized in that it comprises means or modules for performing the method according to any of claims 7 to 11.
25. A signal processing apparatus, characterized in that it comprises means or modules for performing the method according to any of claims 12 to 17.
26. A signal processing apparatus, characterized in that it comprises means or modules for performing the method according to any of claims 18 to 22.
27. A signal processing apparatus, characterized in that the signal processing apparatus comprises: a processor; the processor for performing the signal processing method of any one of claims 1-22.
28. A computer-readable storage medium, comprising a computer program or instructions, which, when run on a computer, causes the signal processing method of any of claims 1-22 to be performed.
29. A computer program product, the computer program product comprising: computer program or instructions which, when run on a computer, cause the signal processing method according to any one of claims 1-22 to be performed.
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